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Finding the Fourth Proportional to 375.48, 562.56 and 202.14

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Solution

The fourth proportional to 375.48, 562.56 and 202.14 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.48 : 562.56 = 202.14 : x
  2. Step 2: Convert to fraction form
    375.48/562.56 = 202.14/x
  3. Step 3: Cross multiply
    375.48x = 562.56 × 202.14
  4. Step 4: Simplify right side
    375.48x = 113,715.88
  5. Step 5: Solve for x
    x = 113,715.88/375.48
  6. Step 6: Final answer
    x = 302.85

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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.