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Finding the Fourth Proportional to 178.34, 245.99 and 116.10

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Solution

The fourth proportional to 178.34, 245.99 and 116.10 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 245.99 = 116.10 : x
  2. Step 2: Convert to fraction form
    178.34/245.99 = 116.10/x
  3. Step 3: Cross multiply
    178.34x = 245.99 × 116.10
  4. Step 4: Simplify right side
    178.34x = 28,559.73
  5. Step 5: Solve for x
    x = 28,559.73/178.34
  6. Step 6: Final answer
    x = 160.15

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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.