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Finding the Fourth Proportional to 265.05, 365.57 and 154.52

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Solution

The fourth proportional to 265.05, 365.57 and 154.52 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.05 : 365.57 = 154.52 : x
  2. Step 2: Convert to fraction form
    265.05/365.57 = 154.52/x
  3. Step 3: Cross multiply
    265.05x = 365.57 × 154.52
  4. Step 4: Simplify right side
    265.05x = 56,485.86
  5. Step 5: Solve for x
    x = 56,485.86/265.05
  6. Step 6: Final answer
    x = 213.12

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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.