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Finding the Fourth Proportional to 214.02, 322.70 and 196.02

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Solution

The fourth proportional to 214.02, 322.70 and 196.02 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 322.70 = 196.02 : x
  2. Step 2: Convert to fraction form
    214.02/322.70 = 196.02/x
  3. Step 3: Cross multiply
    214.02x = 322.70 × 196.02
  4. Step 4: Simplify right side
    214.02x = 63,254.67
  5. Step 5: Solve for x
    x = 63,254.67/214.02
  6. Step 6: Final answer
    x = 295.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.