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Finding the Fourth Proportional to 285.04, 426.75 and 229.87

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Solution

The fourth proportional to 285.04, 426.75 and 229.87 is: 344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 426.75 = 229.87 : x
  2. Step 2: Convert to fraction form
    285.04/426.75 = 229.87/x
  3. Step 3: Cross multiply
    285.04x = 426.75 × 229.87
  4. Step 4: Simplify right side
    285.04x = 98,097.02
  5. Step 5: Solve for x
    x = 98,097.02/285.04
  6. Step 6: Final answer
    x = 344.15

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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.