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Finding the Fourth Proportional to 670.19, 1,005.30 and 183.23

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Solution

The fourth proportional to 670.19, 1,005.30 and 183.23 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 1,005.30 = 183.23 : x
  2. Step 2: Convert to fraction form
    670.19/1,005.30 = 183.23/x
  3. Step 3: Cross multiply
    670.19x = 1,005.30 × 183.23
  4. Step 4: Simplify right side
    670.19x = 184,201.12
  5. Step 5: Solve for x
    x = 184,201.12/670.19
  6. Step 6: Final answer
    x = 274.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.