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Finding the Fourth Proportional to 177.64, 266.45 and 105.28

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Solution

The fourth proportional to 177.64, 266.45 and 105.28 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 266.45 = 105.28 : x
  2. Step 2: Convert to fraction form
    177.64/266.45 = 105.28/x
  3. Step 3: Cross multiply
    177.64x = 266.45 × 105.28
  4. Step 4: Simplify right side
    177.64x = 28,051.45
  5. Step 5: Solve for x
    x = 28,051.45/177.64
  6. Step 6: Final answer
    x = 157.91

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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.