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Finding the Fourth Proportional to 335.01, 502.34 and 152.29

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Solution

The fourth proportional to 335.01, 502.34 and 152.29 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.01 : 502.34 = 152.29 : x
  2. Step 2: Convert to fraction form
    335.01/502.34 = 152.29/x
  3. Step 3: Cross multiply
    335.01x = 502.34 × 152.29
  4. Step 4: Simplify right side
    335.01x = 76,499.34
  5. Step 5: Solve for x
    x = 76,499.34/335.01
  6. Step 6: Final answer
    x = 228.35

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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.