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Finding the Fourth Proportional to 270.95, 373.64 and 204.72

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Solution

The fourth proportional to 270.95, 373.64 and 204.72 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 373.64 = 204.72 : x
  2. Step 2: Convert to fraction form
    270.95/373.64 = 204.72/x
  3. Step 3: Cross multiply
    270.95x = 373.64 × 204.72
  4. Step 4: Simplify right side
    270.95x = 76,490.56
  5. Step 5: Solve for x
    x = 76,490.56/270.95
  6. Step 6: Final answer
    x = 282.31

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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.