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Finding the Fourth Proportional to 242.33, 363.06 and 211.82

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Solution

The fourth proportional to 242.33, 363.06 and 211.82 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 363.06 = 211.82 : x
  2. Step 2: Convert to fraction form
    242.33/363.06 = 211.82/x
  3. Step 3: Cross multiply
    242.33x = 363.06 × 211.82
  4. Step 4: Simplify right side
    242.33x = 76,901.55
  5. Step 5: Solve for x
    x = 76,901.55/242.33
  6. Step 6: Final answer
    x = 317.35

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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.