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Finding the Fourth Proportional to 370.39, 511.13 and 202.34

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Solution

The fourth proportional to 370.39, 511.13 and 202.34 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.39 : 511.13 = 202.34 : x
  2. Step 2: Convert to fraction form
    370.39/511.13 = 202.34/x
  3. Step 3: Cross multiply
    370.39x = 511.13 × 202.34
  4. Step 4: Simplify right side
    370.39x = 103,419.49
  5. Step 5: Solve for x
    x = 103,419.49/370.39
  6. Step 6: Final answer
    x = 279.22

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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.