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Finding the Fourth Proportional to 432.36, 648.16 and 188.70

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Solution

The fourth proportional to 432.36, 648.16 and 188.70 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.36 : 648.16 = 188.70 : x
  2. Step 2: Convert to fraction form
    432.36/648.16 = 188.70/x
  3. Step 3: Cross multiply
    432.36x = 648.16 × 188.70
  4. Step 4: Simplify right side
    432.36x = 122,307.79
  5. Step 5: Solve for x
    x = 122,307.79/432.36
  6. Step 6: Final answer
    x = 282.88

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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.