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Finding the Fourth Proportional to 177.30, 244.53 and 133.74

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Solution

The fourth proportional to 177.30, 244.53 and 133.74 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 244.53 = 133.74 : x
  2. Step 2: Convert to fraction form
    177.30/244.53 = 133.74/x
  3. Step 3: Cross multiply
    177.30x = 244.53 × 133.74
  4. Step 4: Simplify right side
    177.30x = 32,703.44
  5. Step 5: Solve for x
    x = 32,703.44/177.30
  6. Step 6: Final answer
    x = 184.45

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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.