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Finding the Fourth Proportional to 375.31, 563.06 and 118.81

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Solution

The fourth proportional to 375.31, 563.06 and 118.81 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 563.06 = 118.81 : x
  2. Step 2: Convert to fraction form
    375.31/563.06 = 118.81/x
  3. Step 3: Cross multiply
    375.31x = 563.06 × 118.81
  4. Step 4: Simplify right side
    375.31x = 66,898.42
  5. Step 5: Solve for x
    x = 66,898.42/375.31
  6. Step 6: Final answer
    x = 178.25

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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.