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Finding the Fourth Proportional to 268.83, 370.95 and 181.50

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Solution

The fourth proportional to 268.83, 370.95 and 181.50 is: 250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 370.95 = 181.50 : x
  2. Step 2: Convert to fraction form
    268.83/370.95 = 181.50/x
  3. Step 3: Cross multiply
    268.83x = 370.95 × 181.50
  4. Step 4: Simplify right side
    268.83x = 67,327.43
  5. Step 5: Solve for x
    x = 67,327.43/268.83
  6. Step 6: Final answer
    x = 250.45

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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.