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Finding the Fourth Proportional to 334.86, 502.26 and 152.20

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Solution

The fourth proportional to 334.86, 502.26 and 152.20 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 502.26 = 152.20 : x
  2. Step 2: Convert to fraction form
    334.86/502.26 = 152.20/x
  3. Step 3: Cross multiply
    334.86x = 502.26 × 152.20
  4. Step 4: Simplify right side
    334.86x = 76,443.97
  5. Step 5: Solve for x
    x = 76,443.97/334.86
  6. Step 6: Final answer
    x = 228.29

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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.