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Finding the Fourth Proportional to 268.28, 370.13 and 156.23

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Solution

The fourth proportional to 268.28, 370.13 and 156.23 is: 215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.28 : 370.13 = 156.23 : x
  2. Step 2: Convert to fraction form
    268.28/370.13 = 156.23/x
  3. Step 3: Cross multiply
    268.28x = 370.13 × 156.23
  4. Step 4: Simplify right side
    268.28x = 57,825.41
  5. Step 5: Solve for x
    x = 57,825.41/268.28
  6. Step 6: Final answer
    x = 215.54

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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.