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Finding the Fourth Proportional to 375.38, 562.79 and 177.65

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Solution

The fourth proportional to 375.38, 562.79 and 177.65 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.38 : 562.79 = 177.65 : x
  2. Step 2: Convert to fraction form
    375.38/562.79 = 177.65/x
  3. Step 3: Cross multiply
    375.38x = 562.79 × 177.65
  4. Step 4: Simplify right side
    375.38x = 99,979.64
  5. Step 5: Solve for x
    x = 99,979.64/375.38
  6. Step 6: Final answer
    x = 266.34

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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.