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Finding the Fourth Proportional to 214.94, 322.33 and 91.41

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Solution

The fourth proportional to 214.94, 322.33 and 91.41 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 322.33 = 91.41 : x
  2. Step 2: Convert to fraction form
    214.94/322.33 = 91.41/x
  3. Step 3: Cross multiply
    214.94x = 322.33 × 91.41
  4. Step 4: Simplify right side
    214.94x = 29,464.19
  5. Step 5: Solve for x
    x = 29,464.19/214.94
  6. Step 6: Final answer
    x = 137.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.