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Finding the Fourth Proportional to 147.56, 220.66 and 123.19

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Solution

The fourth proportional to 147.56, 220.66 and 123.19 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 220.66 = 123.19 : x
  2. Step 2: Convert to fraction form
    147.56/220.66 = 123.19/x
  3. Step 3: Cross multiply
    147.56x = 220.66 × 123.19
  4. Step 4: Simplify right side
    147.56x = 27,182.25
  5. Step 5: Solve for x
    x = 27,182.25/147.56
  6. Step 6: Final answer
    x = 184.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.