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Finding the Fourth Proportional to 432.18, 648.09 and 188.53

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Solution

The fourth proportional to 432.18, 648.09 and 188.53 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.18 : 648.09 = 188.53 : x
  2. Step 2: Convert to fraction form
    432.18/648.09 = 188.53/x
  3. Step 3: Cross multiply
    432.18x = 648.09 × 188.53
  4. Step 4: Simplify right side
    432.18x = 122,184.41
  5. Step 5: Solve for x
    x = 122,184.41/432.18
  6. Step 6: Final answer
    x = 282.72

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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.