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Finding the Fourth Proportional to 178.16, 244.24 and 175.32

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Solution

The fourth proportional to 178.16, 244.24 and 175.32 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 244.24 = 175.32 : x
  2. Step 2: Convert to fraction form
    178.16/244.24 = 175.32/x
  3. Step 3: Cross multiply
    178.16x = 244.24 × 175.32
  4. Step 4: Simplify right side
    178.16x = 42,819.72
  5. Step 5: Solve for x
    x = 42,819.72/178.16
  6. Step 6: Final answer
    x = 240.35

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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.