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Finding the Fourth Proportional to 270.97, 373.70 and 176.40

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Solution

The fourth proportional to 270.97, 373.70 and 176.40 is: 243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.97 : 373.70 = 176.40 : x
  2. Step 2: Convert to fraction form
    270.97/373.70 = 176.40/x
  3. Step 3: Cross multiply
    270.97x = 373.70 × 176.40
  4. Step 4: Simplify right side
    270.97x = 65,921.12
  5. Step 5: Solve for x
    x = 65,921.12/270.97
  6. Step 6: Final answer
    x = 243.28

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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.