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Finding the Fourth Proportional to 432.07, 648.14 and 188.60

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Solution

The fourth proportional to 432.07, 648.14 and 188.60 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.07 : 648.14 = 188.60 : x
  2. Step 2: Convert to fraction form
    432.07/648.14 = 188.60/x
  3. Step 3: Cross multiply
    432.07x = 648.14 × 188.60
  4. Step 4: Simplify right side
    432.07x = 122,235.02
  5. Step 5: Solve for x
    x = 122,235.02/432.07
  6. Step 6: Final answer
    x = 282.91

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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.