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Finding the Fourth Proportional to 177.68, 245.08 and 149.22

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Solution

The fourth proportional to 177.68, 245.08 and 149.22 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.08 = 149.22 : x
  2. Step 2: Convert to fraction form
    177.68/245.08 = 149.22/x
  3. Step 3: Cross multiply
    177.68x = 245.08 × 149.22
  4. Step 4: Simplify right side
    177.68x = 36,570.84
  5. Step 5: Solve for x
    x = 36,570.84/177.68
  6. Step 6: Final answer
    x = 205.82

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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.