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Finding the Fourth Proportional to 176.04, 242.80 and 116.92

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Solution

The fourth proportional to 176.04, 242.80 and 116.92 is: 161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 242.80 = 116.92 : x
  2. Step 2: Convert to fraction form
    176.04/242.80 = 116.92/x
  3. Step 3: Cross multiply
    176.04x = 242.80 × 116.92
  4. Step 4: Simplify right side
    176.04x = 28,388.19
  5. Step 5: Solve for x
    x = 28,388.19/176.04
  6. Step 6: Final answer
    x = 161.26

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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.