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Finding the Fourth Proportional to 284.26, 425.74 and 146.98

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Solution

The fourth proportional to 284.26, 425.74 and 146.98 is: 220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.26 : 425.74 = 146.98 : x
  2. Step 2: Convert to fraction form
    284.26/425.74 = 146.98/x
  3. Step 3: Cross multiply
    284.26x = 425.74 × 146.98
  4. Step 4: Simplify right side
    284.26x = 62,575.27
  5. Step 5: Solve for x
    x = 62,575.27/284.26
  6. Step 6: Final answer
    x = 220.13

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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.