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Finding the Fourth Proportional to 265.01, 365.67 and 146.97

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Solution

The fourth proportional to 265.01, 365.67 and 146.97 is: 202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.01 : 365.67 = 146.97 : x
  2. Step 2: Convert to fraction form
    265.01/365.67 = 146.97/x
  3. Step 3: Cross multiply
    265.01x = 365.67 × 146.97
  4. Step 4: Simplify right side
    265.01x = 53,742.52
  5. Step 5: Solve for x
    x = 53,742.52/265.01
  6. Step 6: Final answer
    x = 202.80

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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.