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Finding the Fourth Proportional to 267.06, 368.54 and 162.15

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Solution

The fourth proportional to 267.06, 368.54 and 162.15 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 368.54 = 162.15 : x
  2. Step 2: Convert to fraction form
    267.06/368.54 = 162.15/x
  3. Step 3: Cross multiply
    267.06x = 368.54 × 162.15
  4. Step 4: Simplify right side
    267.06x = 59,756.92
  5. Step 5: Solve for x
    x = 59,756.92/267.06
  6. Step 6: Final answer
    x = 223.76

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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.