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Finding the Fourth Proportional to 352.71, 528.24 and 178.83

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Solution

The fourth proportional to 352.71, 528.24 and 178.83 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.71 : 528.24 = 178.83 : x
  2. Step 2: Convert to fraction form
    352.71/528.24 = 178.83/x
  3. Step 3: Cross multiply
    352.71x = 528.24 × 178.83
  4. Step 4: Simplify right side
    352.71x = 94,465.16
  5. Step 5: Solve for x
    x = 94,465.16/352.71
  6. Step 6: Final answer
    x = 267.83

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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.