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Finding the Fourth Proportional to 502.51, 753.22 and 194.22

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Solution

The fourth proportional to 502.51, 753.22 and 194.22 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.51 : 753.22 = 194.22 : x
  2. Step 2: Convert to fraction form
    502.51/753.22 = 194.22/x
  3. Step 3: Cross multiply
    502.51x = 753.22 × 194.22
  4. Step 4: Simplify right side
    502.51x = 146,290.39
  5. Step 5: Solve for x
    x = 146,290.39/502.51
  6. Step 6: Final answer
    x = 291.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.