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Finding the Fourth Proportional to 335.04, 502.78 and 142.66

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Solution

The fourth proportional to 335.04, 502.78 and 142.66 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 502.78 = 142.66 : x
  2. Step 2: Convert to fraction form
    335.04/502.78 = 142.66/x
  3. Step 3: Cross multiply
    335.04x = 502.78 × 142.66
  4. Step 4: Simplify right side
    335.04x = 71,726.59
  5. Step 5: Solve for x
    x = 71,726.59/335.04
  6. Step 6: Final answer
    x = 214.08

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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.