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Finding the Fourth Proportional to 418.98, 628.72 and 187.88

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Solution

The fourth proportional to 418.98, 628.72 and 187.88 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 628.72 = 187.88 : x
  2. Step 2: Convert to fraction form
    418.98/628.72 = 187.88/x
  3. Step 3: Cross multiply
    418.98x = 628.72 × 187.88
  4. Step 4: Simplify right side
    418.98x = 118,123.91
  5. Step 5: Solve for x
    x = 118,123.91/418.98
  6. Step 6: Final answer
    x = 281.93

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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.