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Finding the Fourth Proportional to 180.32, 248.53 and 149.13

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Solution

The fourth proportional to 180.32, 248.53 and 149.13 is: 205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 248.53 = 149.13 : x
  2. Step 2: Convert to fraction form
    180.32/248.53 = 149.13/x
  3. Step 3: Cross multiply
    180.32x = 248.53 × 149.13
  4. Step 4: Simplify right side
    180.32x = 37,062.53
  5. Step 5: Solve for x
    x = 37,062.53/180.32
  6. Step 6: Final answer
    x = 205.54

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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.