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Finding the Fourth Proportional to 180.02, 248.57 and 114.57

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Solution

The fourth proportional to 180.02, 248.57 and 114.57 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 248.57 = 114.57 : x
  2. Step 2: Convert to fraction form
    180.02/248.57 = 114.57/x
  3. Step 3: Cross multiply
    180.02x = 248.57 × 114.57
  4. Step 4: Simplify right side
    180.02x = 28,478.09
  5. Step 5: Solve for x
    x = 28,478.09/180.02
  6. Step 6: Final answer
    x = 158.20

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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.