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Finding the Fourth Proportional to 177.42, 244.68 and 151.44

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Solution

The fourth proportional to 177.42, 244.68 and 151.44 is: 208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 244.68 = 151.44 : x
  2. Step 2: Convert to fraction form
    177.42/244.68 = 151.44/x
  3. Step 3: Cross multiply
    177.42x = 244.68 × 151.44
  4. Step 4: Simplify right side
    177.42x = 37,054.34
  5. Step 5: Solve for x
    x = 37,054.34/177.42
  6. Step 6: Final answer
    x = 208.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.