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Finding the Fourth Proportional to 268.82, 370.90 and 152.38

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Solution

The fourth proportional to 268.82, 370.90 and 152.38 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 370.90 = 152.38 : x
  2. Step 2: Convert to fraction form
    268.82/370.90 = 152.38/x
  3. Step 3: Cross multiply
    268.82x = 370.90 × 152.38
  4. Step 4: Simplify right side
    268.82x = 56,517.74
  5. Step 5: Solve for x
    x = 56,517.74/268.82
  6. Step 6: Final answer
    x = 210.24

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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.