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Finding the Fourth Proportional to 268.77, 370.87 and 156.71

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Solution

The fourth proportional to 268.77, 370.87 and 156.71 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.77 : 370.87 = 156.71 : x
  2. Step 2: Convert to fraction form
    268.77/370.87 = 156.71/x
  3. Step 3: Cross multiply
    268.77x = 370.87 × 156.71
  4. Step 4: Simplify right side
    268.77x = 58,119.04
  5. Step 5: Solve for x
    x = 58,119.04/268.77
  6. Step 6: Final answer
    x = 216.24

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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.