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Finding the Fourth Proportional to 207.34, 285.80 and 174.13

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Solution

The fourth proportional to 207.34, 285.80 and 174.13 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.34 : 285.80 = 174.13 : x
  2. Step 2: Convert to fraction form
    207.34/285.80 = 174.13/x
  3. Step 3: Cross multiply
    207.34x = 285.80 × 174.13
  4. Step 4: Simplify right side
    207.34x = 49,766.35
  5. Step 5: Solve for x
    x = 49,766.35/207.34
  6. Step 6: Final answer
    x = 240.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.