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Finding the Fourth Proportional to 214.32, 320.93 and 196.50

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Solution

The fourth proportional to 214.32, 320.93 and 196.50 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 320.93 = 196.50 : x
  2. Step 2: Convert to fraction form
    214.32/320.93 = 196.50/x
  3. Step 3: Cross multiply
    214.32x = 320.93 × 196.50
  4. Step 4: Simplify right side
    214.32x = 63,062.75
  5. Step 5: Solve for x
    x = 63,062.75/214.32
  6. Step 6: Final answer
    x = 294.25

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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.