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Finding the Fourth Proportional to 195.52, 292.92 and 152.32

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Solution

The fourth proportional to 195.52, 292.92 and 152.32 is: 228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.52 : 292.92 = 152.32 : x
  2. Step 2: Convert to fraction form
    195.52/292.92 = 152.32/x
  3. Step 3: Cross multiply
    195.52x = 292.92 × 152.32
  4. Step 4: Simplify right side
    195.52x = 44,617.57
  5. Step 5: Solve for x
    x = 44,617.57/195.52
  6. Step 6: Final answer
    x = 228.20

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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.