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Finding the Fourth Proportional to 180.02, 248.33 and 114.48

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Solution

The fourth proportional to 180.02, 248.33 and 114.48 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 248.33 = 114.48 : x
  2. Step 2: Convert to fraction form
    180.02/248.33 = 114.48/x
  3. Step 3: Cross multiply
    180.02x = 248.33 × 114.48
  4. Step 4: Simplify right side
    180.02x = 28,429.10
  5. Step 5: Solve for x
    x = 28,429.10/180.02
  6. Step 6: Final answer
    x = 157.92

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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.