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Finding the Fourth Proportional to 268.42, 370.34 and 151.96

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Solution

The fourth proportional to 268.42, 370.34 and 151.96 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.42 : 370.34 = 151.96 : x
  2. Step 2: Convert to fraction form
    268.42/370.34 = 151.96/x
  3. Step 3: Cross multiply
    268.42x = 370.34 × 151.96
  4. Step 4: Simplify right side
    268.42x = 56,276.87
  5. Step 5: Solve for x
    x = 56,276.87/268.42
  6. Step 6: Final answer
    x = 209.66

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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.