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Finding the Fourth Proportional to 288.03, 432.15 and 125.70

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Solution

The fourth proportional to 288.03, 432.15 and 125.70 is: 188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.03 : 432.15 = 125.70 : x
  2. Step 2: Convert to fraction form
    288.03/432.15 = 125.70/x
  3. Step 3: Cross multiply
    288.03x = 432.15 × 125.70
  4. Step 4: Simplify right side
    288.03x = 54,319.87
  5. Step 5: Solve for x
    x = 54,319.87/288.03
  6. Step 6: Final answer
    x = 188.59

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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.