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Finding the Fourth Proportional to 265.16, 365.90 and 154.64

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Solution

The fourth proportional to 265.16, 365.90 and 154.64 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 365.90 = 154.64 : x
  2. Step 2: Convert to fraction form
    265.16/365.90 = 154.64/x
  3. Step 3: Cross multiply
    265.16x = 365.90 × 154.64
  4. Step 4: Simplify right side
    265.16x = 56,582.78
  5. Step 5: Solve for x
    x = 56,582.78/265.16
  6. Step 6: Final answer
    x = 213.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.