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Finding the Fourth Proportional to 268.60, 370.69 and 150.58

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Solution

The fourth proportional to 268.60, 370.69 and 150.58 is: 207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.60 : 370.69 = 150.58 : x
  2. Step 2: Convert to fraction form
    268.60/370.69 = 150.58/x
  3. Step 3: Cross multiply
    268.60x = 370.69 × 150.58
  4. Step 4: Simplify right side
    268.60x = 55,818.50
  5. Step 5: Solve for x
    x = 55,818.50/268.60
  6. Step 6: Final answer
    x = 207.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.