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Finding the Fourth Proportional to 288.77, 433.20 and 134.71

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Solution

The fourth proportional to 288.77, 433.20 and 134.71 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 433.20 = 134.71 : x
  2. Step 2: Convert to fraction form
    288.77/433.20 = 134.71/x
  3. Step 3: Cross multiply
    288.77x = 433.20 × 134.71
  4. Step 4: Simplify right side
    288.77x = 58,357.47
  5. Step 5: Solve for x
    x = 58,357.47/288.77
  6. Step 6: Final answer
    x = 202.09

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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.