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Finding the Fourth Proportional to 375.13, 562.65 and 131.63

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Solution

The fourth proportional to 375.13, 562.65 and 131.63 is: 197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.13 : 562.65 = 131.63 : x
  2. Step 2: Convert to fraction form
    375.13/562.65 = 131.63/x
  3. Step 3: Cross multiply
    375.13x = 562.65 × 131.63
  4. Step 4: Simplify right side
    375.13x = 74,058.31
  5. Step 5: Solve for x
    x = 74,058.31/375.13
  6. Step 6: Final answer
    x = 197.42

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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.