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Finding the Fourth Proportional to 152.12, 208.56 and 149.38

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Solution

The fourth proportional to 152.12, 208.56 and 149.38 is: 204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 208.56 = 149.38 : x
  2. Step 2: Convert to fraction form
    152.12/208.56 = 149.38/x
  3. Step 3: Cross multiply
    152.12x = 208.56 × 149.38
  4. Step 4: Simplify right side
    152.12x = 31,154.69
  5. Step 5: Solve for x
    x = 31,154.69/152.12
  6. Step 6: Final answer
    x = 204.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.