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Finding the Fourth Proportional to 313.28, 469.78 and 183.32

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Solution

The fourth proportional to 313.28, 469.78 and 183.32 is: 274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.28 : 469.78 = 183.32 : x
  2. Step 2: Convert to fraction form
    313.28/469.78 = 183.32/x
  3. Step 3: Cross multiply
    313.28x = 469.78 × 183.32
  4. Step 4: Simplify right side
    313.28x = 86,122.18
  5. Step 5: Solve for x
    x = 86,122.18/313.28
  6. Step 6: Final answer
    x = 274.90

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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.