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Finding the Fourth Proportional to 177.42, 265.86 and 105.20

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Solution

The fourth proportional to 177.42, 265.86 and 105.20 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 265.86 = 105.20 : x
  2. Step 2: Convert to fraction form
    177.42/265.86 = 105.20/x
  3. Step 3: Cross multiply
    177.42x = 265.86 × 105.20
  4. Step 4: Simplify right side
    177.42x = 27,968.47
  5. Step 5: Solve for x
    x = 27,968.47/177.42
  6. Step 6: Final answer
    x = 157.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.