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Finding the Fourth Proportional to 214.64, 322.11 and 92.99

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Solution

The fourth proportional to 214.64, 322.11 and 92.99 is: 139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322.11 = 92.99 : x
  2. Step 2: Convert to fraction form
    214.64/322.11 = 92.99/x
  3. Step 3: Cross multiply
    214.64x = 322.11 × 92.99
  4. Step 4: Simplify right side
    214.64x = 29,953.01
  5. Step 5: Solve for x
    x = 29,953.01/214.64
  6. Step 6: Final answer
    x = 139.55

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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.