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Finding the Fourth Proportional to 172.16, 256.96 and 147.84

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Solution

The fourth proportional to 172.16, 256.96 and 147.84 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 256.96 = 147.84 : x
  2. Step 2: Convert to fraction form
    172.16/256.96 = 147.84/x
  3. Step 3: Cross multiply
    172.16x = 256.96 × 147.84
  4. Step 4: Simplify right side
    172.16x = 37,988.97
  5. Step 5: Solve for x
    x = 37,988.97/172.16
  6. Step 6: Final answer
    x = 220.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.