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Finding the Fourth Proportional to 178.04, 244.76 and 176.92

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Solution

The fourth proportional to 178.04, 244.76 and 176.92 is: 243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 244.76 = 176.92 : x
  2. Step 2: Convert to fraction form
    178.04/244.76 = 176.92/x
  3. Step 3: Cross multiply
    178.04x = 244.76 × 176.92
  4. Step 4: Simplify right side
    178.04x = 43,304.70
  5. Step 5: Solve for x
    x = 43,304.70/178.04
  6. Step 6: Final answer
    x = 243.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.