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Finding the Fourth Proportional to 265.06, 365.78 and 147.02

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Solution

The fourth proportional to 265.06, 365.78 and 147.02 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 365.78 = 147.02 : x
  2. Step 2: Convert to fraction form
    265.06/365.78 = 147.02/x
  3. Step 3: Cross multiply
    265.06x = 365.78 × 147.02
  4. Step 4: Simplify right side
    265.06x = 53,776.98
  5. Step 5: Solve for x
    x = 53,776.98/265.06
  6. Step 6: Final answer
    x = 202.89

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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.