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Finding the Fourth Proportional to 178.12, 245.73 and 116.02

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Solution

The fourth proportional to 178.12, 245.73 and 116.02 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 245.73 = 116.02 : x
  2. Step 2: Convert to fraction form
    178.12/245.73 = 116.02/x
  3. Step 3: Cross multiply
    178.12x = 245.73 × 116.02
  4. Step 4: Simplify right side
    178.12x = 28,509.59
  5. Step 5: Solve for x
    x = 28,509.59/178.12
  6. Step 6: Final answer
    x = 160.06

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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.