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Finding the Fourth Proportional to 318.94, 440.13 and 202.50

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Solution

The fourth proportional to 318.94, 440.13 and 202.50 is: 279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 440.13 = 202.50 : x
  2. Step 2: Convert to fraction form
    318.94/440.13 = 202.50/x
  3. Step 3: Cross multiply
    318.94x = 440.13 × 202.50
  4. Step 4: Simplify right side
    318.94x = 89,127.08
  5. Step 5: Solve for x
    x = 89,127.08/318.94
  6. Step 6: Final answer
    x = 279.45

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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.