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Finding the Fourth Proportional to 177.90, 245.64 and 115.82

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Solution

The fourth proportional to 177.90, 245.64 and 115.82 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 245.64 = 115.82 : x
  2. Step 2: Convert to fraction form
    177.90/245.64 = 115.82/x
  3. Step 3: Cross multiply
    177.90x = 245.64 × 115.82
  4. Step 4: Simplify right side
    177.90x = 28,450.02
  5. Step 5: Solve for x
    x = 28,450.02/177.90
  6. Step 6: Final answer
    x = 159.92

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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.