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Finding the Fourth Proportional to 285.97, 429.07 and 112.65

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Solution

The fourth proportional to 285.97, 429.07 and 112.65 is: 169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.97 : 429.07 = 112.65 : x
  2. Step 2: Convert to fraction form
    285.97/429.07 = 112.65/x
  3. Step 3: Cross multiply
    285.97x = 429.07 × 112.65
  4. Step 4: Simplify right side
    285.97x = 48,334.74
  5. Step 5: Solve for x
    x = 48,334.74/285.97
  6. Step 6: Final answer
    x = 169.02

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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.