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Finding the Fourth Proportional to 177.94, 266.90 and 49.69

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Solution

The fourth proportional to 177.94, 266.90 and 49.69 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 266.90 = 49.69 : x
  2. Step 2: Convert to fraction form
    177.94/266.90 = 49.69/x
  3. Step 3: Cross multiply
    177.94x = 266.90 × 49.69
  4. Step 4: Simplify right side
    177.94x = 13,261.05
  5. Step 5: Solve for x
    x = 13,261.05/177.94
  6. Step 6: Final answer
    x = 74.53

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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.