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Finding the Fourth Proportional to 178.48, 244.34 and 177.28

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Solution

The fourth proportional to 178.48, 244.34 and 177.28 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 244.34 = 177.28 : x
  2. Step 2: Convert to fraction form
    178.48/244.34 = 177.28/x
  3. Step 3: Cross multiply
    178.48x = 244.34 × 177.28
  4. Step 4: Simplify right side
    178.48x = 43,316.60
  5. Step 5: Solve for x
    x = 43,316.60/178.48
  6. Step 6: Final answer
    x = 242.70

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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.