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Finding the Fourth Proportional to 375.23, 562.29 and 212.96

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Solution

The fourth proportional to 375.23, 562.29 and 212.96 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.23 : 562.29 = 212.96 : x
  2. Step 2: Convert to fraction form
    375.23/562.29 = 212.96/x
  3. Step 3: Cross multiply
    375.23x = 562.29 × 212.96
  4. Step 4: Simplify right side
    375.23x = 119,742.47
  5. Step 5: Solve for x
    x = 119,742.47/375.23
  6. Step 6: Final answer
    x = 319.12

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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.