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Finding the Fourth Proportional to 265.05, 365.69 and 154.53

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Solution

The fourth proportional to 265.05, 365.69 and 154.53 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.05 : 365.69 = 154.53 : x
  2. Step 2: Convert to fraction form
    265.05/365.69 = 154.53/x
  3. Step 3: Cross multiply
    265.05x = 365.69 × 154.53
  4. Step 4: Simplify right side
    265.05x = 56,509.30
  5. Step 5: Solve for x
    x = 56,509.30/265.05
  6. Step 6: Final answer
    x = 213.20

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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.