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Finding the Fourth Proportional to 214.48, 322.50 and 197.57

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Solution

The fourth proportional to 214.48, 322.50 and 197.57 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 322.50 = 197.57 : x
  2. Step 2: Convert to fraction form
    214.48/322.50 = 197.57/x
  3. Step 3: Cross multiply
    214.48x = 322.50 × 197.57
  4. Step 4: Simplify right side
    214.48x = 63,716.33
  5. Step 5: Solve for x
    x = 63,716.33/214.48
  6. Step 6: Final answer
    x = 297.07

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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.