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Finding the Fourth Proportional to 502.66, 753.63 and 194.25

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Solution

The fourth proportional to 502.66, 753.63 and 194.25 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.66 : 753.63 = 194.25 : x
  2. Step 2: Convert to fraction form
    502.66/753.63 = 194.25/x
  3. Step 3: Cross multiply
    502.66x = 753.63 × 194.25
  4. Step 4: Simplify right side
    502.66x = 146,392.63
  5. Step 5: Solve for x
    x = 146,392.63/502.66
  6. Step 6: Final answer
    x = 291.24

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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.