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Finding the Fourth Proportional to 265.06, 365.72 and 154.48

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Solution

The fourth proportional to 265.06, 365.72 and 154.48 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 365.72 = 154.48 : x
  2. Step 2: Convert to fraction form
    265.06/365.72 = 154.48/x
  3. Step 3: Cross multiply
    265.06x = 365.72 × 154.48
  4. Step 4: Simplify right side
    265.06x = 56,496.43
  5. Step 5: Solve for x
    x = 56,496.43/265.06
  6. Step 6: Final answer
    x = 213.15

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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.