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Finding the Fourth Proportional to 177.95, 266.71 and 104.86

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Solution

The fourth proportional to 177.95, 266.71 and 104.86 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.95 : 266.71 = 104.86 : x
  2. Step 2: Convert to fraction form
    177.95/266.71 = 104.86/x
  3. Step 3: Cross multiply
    177.95x = 266.71 × 104.86
  4. Step 4: Simplify right side
    177.95x = 27,967.21
  5. Step 5: Solve for x
    x = 27,967.21/177.95
  6. Step 6: Final answer
    x = 157.16

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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.