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Finding the Fourth Proportional to 295.96, 444.76 and 151.78

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Solution

The fourth proportional to 295.96, 444.76 and 151.78 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 444.76 = 151.78 : x
  2. Step 2: Convert to fraction form
    295.96/444.76 = 151.78/x
  3. Step 3: Cross multiply
    295.96x = 444.76 × 151.78
  4. Step 4: Simplify right side
    295.96x = 67,505.67
  5. Step 5: Solve for x
    x = 67,505.67/295.96
  6. Step 6: Final answer
    x = 228.09

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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.