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Finding the Fourth Proportional to 214.87, 322.84 and 137.87

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Solution

The fourth proportional to 214.87, 322.84 and 137.87 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.87 : 322.84 = 137.87 : x
  2. Step 2: Convert to fraction form
    214.87/322.84 = 137.87/x
  3. Step 3: Cross multiply
    214.87x = 322.84 × 137.87
  4. Step 4: Simplify right side
    214.87x = 44,509.95
  5. Step 5: Solve for x
    x = 44,509.95/214.87
  6. Step 6: Final answer
    x = 207.15

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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.