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Finding the Fourth Proportional to 334.85, 502.23 and 152.29

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Solution

The fourth proportional to 334.85, 502.23 and 152.29 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.85 : 502.23 = 152.29 : x
  2. Step 2: Convert to fraction form
    334.85/502.23 = 152.29/x
  3. Step 3: Cross multiply
    334.85x = 502.23 × 152.29
  4. Step 4: Simplify right side
    334.85x = 76,485.81
  5. Step 5: Solve for x
    x = 76,485.81/334.85
  6. Step 6: Final answer
    x = 228.42

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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.