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Finding the Fourth Proportional to 178.32, 245.89 and 116.06

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Solution

The fourth proportional to 178.32, 245.89 and 116.06 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.32 : 245.89 = 116.06 : x
  2. Step 2: Convert to fraction form
    178.32/245.89 = 116.06/x
  3. Step 3: Cross multiply
    178.32x = 245.89 × 116.06
  4. Step 4: Simplify right side
    178.32x = 28,536.62
  5. Step 5: Solve for x
    x = 28,536.62/178.32
  6. Step 6: Final answer
    x = 160.03

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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.