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Finding the Fourth Proportional to 376.49, 564.67 and 102.52

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Solution

The fourth proportional to 376.49, 564.67 and 102.52 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.49 : 564.67 = 102.52 : x
  2. Step 2: Convert to fraction form
    376.49/564.67 = 102.52/x
  3. Step 3: Cross multiply
    376.49x = 564.67 × 102.52
  4. Step 4: Simplify right side
    376.49x = 57,887.38
  5. Step 5: Solve for x
    x = 57,887.38/376.49
  6. Step 6: Final answer
    x = 153.76

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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.