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Finding the Fourth Proportional to 375.12, 562.41 and 266.85

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Solution

The fourth proportional to 375.12, 562.41 and 266.85 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 562.41 = 266.85 : x
  2. Step 2: Convert to fraction form
    375.12/562.41 = 266.85/x
  3. Step 3: Cross multiply
    375.12x = 562.41 × 266.85
  4. Step 4: Simplify right side
    375.12x = 150,079.11
  5. Step 5: Solve for x
    x = 150,079.11/375.12
  6. Step 6: Final answer
    x = 400.08

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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.