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Finding the Fourth Proportional to 437.85, 656.99 and 178.04

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Solution

The fourth proportional to 437.85, 656.99 and 178.04 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 656.99 = 178.04 : x
  2. Step 2: Convert to fraction form
    437.85/656.99 = 178.04/x
  3. Step 3: Cross multiply
    437.85x = 656.99 × 178.04
  4. Step 4: Simplify right side
    437.85x = 116,966.32
  5. Step 5: Solve for x
    x = 116,966.32/437.85
  6. Step 6: Final answer
    x = 267.14

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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.