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Finding the Fourth Proportional to 214.48, 320.07 and 191.41

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Solution

The fourth proportional to 214.48, 320.07 and 191.41 is: 285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 320.07 = 191.41 : x
  2. Step 2: Convert to fraction form
    214.48/320.07 = 191.41/x
  3. Step 3: Cross multiply
    214.48x = 320.07 × 191.41
  4. Step 4: Simplify right side
    214.48x = 61,264.60
  5. Step 5: Solve for x
    x = 61,264.60/214.48
  6. Step 6: Final answer
    x = 285.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.