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Finding the Fourth Proportional to 402.19, 602.58 and 185.32

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Solution

The fourth proportional to 402.19, 602.58 and 185.32 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 602.58 = 185.32 : x
  2. Step 2: Convert to fraction form
    402.19/602.58 = 185.32/x
  3. Step 3: Cross multiply
    402.19x = 602.58 × 185.32
  4. Step 4: Simplify right side
    402.19x = 111,670.13
  5. Step 5: Solve for x
    x = 111,670.13/402.19
  6. Step 6: Final answer
    x = 277.66

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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.