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Finding the Fourth Proportional to 335.42, 502.94 and 152.85

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Solution

The fourth proportional to 335.42, 502.94 and 152.85 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 502.94 = 152.85 : x
  2. Step 2: Convert to fraction form
    335.42/502.94 = 152.85/x
  3. Step 3: Cross multiply
    335.42x = 502.94 × 152.85
  4. Step 4: Simplify right side
    335.42x = 76,874.76
  5. Step 5: Solve for x
    x = 76,874.76/335.42
  6. Step 6: Final answer
    x = 229.19

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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.