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Finding the Fourth Proportional to 177.68, 266.13 and 148.44

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Solution

The fourth proportional to 177.68, 266.13 and 148.44 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 266.13 = 148.44 : x
  2. Step 2: Convert to fraction form
    177.68/266.13 = 148.44/x
  3. Step 3: Cross multiply
    177.68x = 266.13 × 148.44
  4. Step 4: Simplify right side
    177.68x = 39,504.34
  5. Step 5: Solve for x
    x = 39,504.34/177.68
  6. Step 6: Final answer
    x = 222.34

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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.