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Finding the Fourth Proportional to 184.29, 275.22 and 148.11

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Solution

The fourth proportional to 184.29, 275.22 and 148.11 is: 221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.29 : 275.22 = 148.11 : x
  2. Step 2: Convert to fraction form
    184.29/275.22 = 148.11/x
  3. Step 3: Cross multiply
    184.29x = 275.22 × 148.11
  4. Step 4: Simplify right side
    184.29x = 40,762.83
  5. Step 5: Solve for x
    x = 40,762.83/184.29
  6. Step 6: Final answer
    x = 221.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.