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Finding the Fourth Proportional to 178.88, 244.72 and 175.52

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Solution

The fourth proportional to 178.88, 244.72 and 175.52 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 244.72 = 175.52 : x
  2. Step 2: Convert to fraction form
    178.88/244.72 = 175.52/x
  3. Step 3: Cross multiply
    178.88x = 244.72 × 175.52
  4. Step 4: Simplify right side
    178.88x = 42,953.25
  5. Step 5: Solve for x
    x = 42,953.25/178.88
  6. Step 6: Final answer
    x = 240.12

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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.