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Finding the Fourth Proportional to 266.06, 367.05 and 162.50

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Solution

The fourth proportional to 266.06, 367.05 and 162.50 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.05 = 162.50 : x
  2. Step 2: Convert to fraction form
    266.06/367.05 = 162.50/x
  3. Step 3: Cross multiply
    266.06x = 367.05 × 162.50
  4. Step 4: Simplify right side
    266.06x = 59,645.63
  5. Step 5: Solve for x
    x = 59,645.63/266.06
  6. Step 6: Final answer
    x = 224.18

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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.