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Finding the Fourth Proportional to 177.74, 266.64 and 75.06

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Solution

The fourth proportional to 177.74, 266.64 and 75.06 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 266.64 = 75.06 : x
  2. Step 2: Convert to fraction form
    177.74/266.64 = 75.06/x
  3. Step 3: Cross multiply
    177.74x = 266.64 × 75.06
  4. Step 4: Simplify right side
    177.74x = 20,014.00
  5. Step 5: Solve for x
    x = 20,014.00/177.74
  6. Step 6: Final answer
    x = 112.61

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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.