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Finding the Fourth Proportional to 265.09, 365.84 and 147.09

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Solution

The fourth proportional to 265.09, 365.84 and 147.09 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.09 : 365.84 = 147.09 : x
  2. Step 2: Convert to fraction form
    265.09/365.84 = 147.09/x
  3. Step 3: Cross multiply
    265.09x = 365.84 × 147.09
  4. Step 4: Simplify right side
    265.09x = 53,810.64
  5. Step 5: Solve for x
    x = 53,810.64/265.09
  6. Step 6: Final answer
    x = 202.99

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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.