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Finding the Fourth Proportional to 180.19, 248.72 and 106.57

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Solution

The fourth proportional to 180.19, 248.72 and 106.57 is: 147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 248.72 = 106.57 : x
  2. Step 2: Convert to fraction form
    180.19/248.72 = 106.57/x
  3. Step 3: Cross multiply
    180.19x = 248.72 × 106.57
  4. Step 4: Simplify right side
    180.19x = 26,506.09
  5. Step 5: Solve for x
    x = 26,506.09/180.19
  6. Step 6: Final answer
    x = 147.10

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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.