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Finding the Fourth Proportional to 375.42, 562.93 and 158.81

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Solution

The fourth proportional to 375.42, 562.93 and 158.81 is: 238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 562.93 = 158.81 : x
  2. Step 2: Convert to fraction form
    375.42/562.93 = 158.81/x
  3. Step 3: Cross multiply
    375.42x = 562.93 × 158.81
  4. Step 4: Simplify right side
    375.42x = 89,398.91
  5. Step 5: Solve for x
    x = 89,398.91/375.42
  6. Step 6: Final answer
    x = 238.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.