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Finding the Fourth Proportional to 178.40, 245.92 and 116.22

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Solution

The fourth proportional to 178.40, 245.92 and 116.22 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.40 : 245.92 = 116.22 : x
  2. Step 2: Convert to fraction form
    178.40/245.92 = 116.22/x
  3. Step 3: Cross multiply
    178.40x = 245.92 × 116.22
  4. Step 4: Simplify right side
    178.40x = 28,580.82
  5. Step 5: Solve for x
    x = 28,580.82/178.40
  6. Step 6: Final answer
    x = 160.21

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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.