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Finding the Fourth Proportional to 288.05, 432.14 and 125.69

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Solution

The fourth proportional to 288.05, 432.14 and 125.69 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 432.14 = 125.69 : x
  2. Step 2: Convert to fraction form
    288.05/432.14 = 125.69/x
  3. Step 3: Cross multiply
    288.05x = 432.14 × 125.69
  4. Step 4: Simplify right side
    288.05x = 54,312.89
  5. Step 5: Solve for x
    x = 54,312.89/288.05
  6. Step 6: Final answer
    x = 188.56

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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.