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Finding the Fourth Proportional to 215.42, 322.99 and 143.19

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Solution

The fourth proportional to 215.42, 322.99 and 143.19 is: 214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 322.99 = 143.19 : x
  2. Step 2: Convert to fraction form
    215.42/322.99 = 143.19/x
  3. Step 3: Cross multiply
    215.42x = 322.99 × 143.19
  4. Step 4: Simplify right side
    215.42x = 46,248.58
  5. Step 5: Solve for x
    x = 46,248.58/215.42
  6. Step 6: Final answer
    x = 214.70

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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.