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Finding the Fourth Proportional to 177.51, 266.28 and 105.81

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Solution

The fourth proportional to 177.51, 266.28 and 105.81 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 266.28 = 105.81 : x
  2. Step 2: Convert to fraction form
    177.51/266.28 = 105.81/x
  3. Step 3: Cross multiply
    177.51x = 266.28 × 105.81
  4. Step 4: Simplify right side
    177.51x = 28,175.09
  5. Step 5: Solve for x
    x = 28,175.09/177.51
  6. Step 6: Final answer
    x = 158.72

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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.