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Finding the Fourth Proportional to 285.04, 426.58 and 180.88

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Solution

The fourth proportional to 285.04, 426.58 and 180.88 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 426.58 = 180.88 : x
  2. Step 2: Convert to fraction form
    285.04/426.58 = 180.88/x
  3. Step 3: Cross multiply
    285.04x = 426.58 × 180.88
  4. Step 4: Simplify right side
    285.04x = 77,159.79
  5. Step 5: Solve for x
    x = 77,159.79/285.04
  6. Step 6: Final answer
    x = 270.70

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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.