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Finding the Fourth Proportional to 214.61, 322.01 and 92.98

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Solution

The fourth proportional to 214.61, 322.01 and 92.98 is: 139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 322.01 = 92.98 : x
  2. Step 2: Convert to fraction form
    214.61/322.01 = 92.98/x
  3. Step 3: Cross multiply
    214.61x = 322.01 × 92.98
  4. Step 4: Simplify right side
    214.61x = 29,938.41
  5. Step 5: Solve for x
    x = 29,938.41/214.61
  6. Step 6: Final answer
    x = 139.50

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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.