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Finding the Fourth Proportional to 285.62, 425.98 and 242.56

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Solution

The fourth proportional to 285.62, 425.98 and 242.56 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.62 : 425.98 = 242.56 : x
  2. Step 2: Convert to fraction form
    285.62/425.98 = 242.56/x
  3. Step 3: Cross multiply
    285.62x = 425.98 × 242.56
  4. Step 4: Simplify right side
    285.62x = 103,325.71
  5. Step 5: Solve for x
    x = 103,325.71/285.62
  6. Step 6: Final answer
    x = 361.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.