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Finding the Fourth Proportional to 270.67, 373.61 and 177.49

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Solution

The fourth proportional to 270.67, 373.61 and 177.49 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.67 : 373.61 = 177.49 : x
  2. Step 2: Convert to fraction form
    270.67/373.61 = 177.49/x
  3. Step 3: Cross multiply
    270.67x = 373.61 × 177.49
  4. Step 4: Simplify right side
    270.67x = 66,312.95
  5. Step 5: Solve for x
    x = 66,312.95/270.67
  6. Step 6: Final answer
    x = 245.00

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Why These Related Problems?

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