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Finding the Fourth Proportional to 268.49, 370.52 and 150.46

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Solution

The fourth proportional to 268.49, 370.52 and 150.46 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 370.52 = 150.46 : x
  2. Step 2: Convert to fraction form
    268.49/370.52 = 150.46/x
  3. Step 3: Cross multiply
    268.49x = 370.52 × 150.46
  4. Step 4: Simplify right side
    268.49x = 55,748.44
  5. Step 5: Solve for x
    x = 55,748.44/268.49
  6. Step 6: Final answer
    x = 207.64

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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.