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Finding the Fourth Proportional to 176.17, 242.56 and 159.97

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Solution

The fourth proportional to 176.17, 242.56 and 159.97 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.17 : 242.56 = 159.97 : x
  2. Step 2: Convert to fraction form
    176.17/242.56 = 159.97/x
  3. Step 3: Cross multiply
    176.17x = 242.56 × 159.97
  4. Step 4: Simplify right side
    176.17x = 38,802.32
  5. Step 5: Solve for x
    x = 38,802.32/176.17
  6. Step 6: Final answer
    x = 220.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.