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Finding the Fourth Proportional to 178.22, 245.84 and 116.10

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Solution

The fourth proportional to 178.22, 245.84 and 116.10 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 245.84 = 116.10 : x
  2. Step 2: Convert to fraction form
    178.22/245.84 = 116.10/x
  3. Step 3: Cross multiply
    178.22x = 245.84 × 116.10
  4. Step 4: Simplify right side
    178.22x = 28,541.44
  5. Step 5: Solve for x
    x = 28,541.44/178.22
  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.