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Finding the Fourth Proportional to 214.91, 322.37 and 52.60

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Solution

The fourth proportional to 214.91, 322.37 and 52.60 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 322.37 = 52.60 : x
  2. Step 2: Convert to fraction form
    214.91/322.37 = 52.60/x
  3. Step 3: Cross multiply
    214.91x = 322.37 × 52.60
  4. Step 4: Simplify right side
    214.91x = 16,954.79
  5. Step 5: Solve for x
    x = 16,954.79/214.91
  6. Step 6: Final answer
    x = 78.89

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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.