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Finding the Fourth Proportional to 289.00, 432.92 and 134.71

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Solution

The fourth proportional to 289.00, 432.92 and 134.71 is: 201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.00 : 432.92 = 134.71 : x
  2. Step 2: Convert to fraction form
    289.00/432.92 = 134.71/x
  3. Step 3: Cross multiply
    289.00x = 432.92 × 134.71
  4. Step 4: Simplify right side
    289.00x = 58,317.98
  5. Step 5: Solve for x
    x = 58,317.98/289.00
  6. Step 6: Final answer
    x = 201.80

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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.