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Finding the Fourth Proportional to 195.86, 293.88 and 152.46

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Solution

The fourth proportional to 195.86, 293.88 and 152.46 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 293.88 = 152.46 : x
  2. Step 2: Convert to fraction form
    195.86/293.88 = 152.46/x
  3. Step 3: Cross multiply
    195.86x = 293.88 × 152.46
  4. Step 4: Simplify right side
    195.86x = 44,805.69
  5. Step 5: Solve for x
    x = 44,805.69/195.86
  6. Step 6: Final answer
    x = 228.76

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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.