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Finding the Fourth Proportional to 270.49, 373.16 and 214.90

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Solution

The fourth proportional to 270.49, 373.16 and 214.90 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 373.16 = 214.90 : x
  2. Step 2: Convert to fraction form
    270.49/373.16 = 214.90/x
  3. Step 3: Cross multiply
    270.49x = 373.16 × 214.90
  4. Step 4: Simplify right side
    270.49x = 80,192.58
  5. Step 5: Solve for x
    x = 80,192.58/270.49
  6. Step 6: Final answer
    x = 296.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.