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Finding the Fourth Proportional to 352, 527.52 and 189.76

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Solution

The fourth proportional to 352, 527.52 and 189.76 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352 : 527.52 = 189.76 : x
  2. Step 2: Convert to fraction form
    352/527.52 = 189.76/x
  3. Step 3: Cross multiply
    352x = 527.52 × 189.76
  4. Step 4: Simplify right side
    352x = 100,102.20
  5. Step 5: Solve for x
    x = 100,102.20/352
  6. Step 6: Final answer
    x = 284.38

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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.