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Finding the Fourth Proportional to 285.13, 393.15 and 211.42

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Solution

The fourth proportional to 285.13, 393.15 and 211.42 is: 291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 393.15 = 211.42 : x
  2. Step 2: Convert to fraction form
    285.13/393.15 = 211.42/x
  3. Step 3: Cross multiply
    285.13x = 393.15 × 211.42
  4. Step 4: Simplify right side
    285.13x = 83,119.77
  5. Step 5: Solve for x
    x = 83,119.77/285.13
  6. Step 6: Final answer
    x = 291.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.