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Finding the Fourth Proportional to 365.93, 505.05 and 247.90

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Solution

The fourth proportional to 365.93, 505.05 and 247.90 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.93 : 505.05 = 247.90 : x
  2. Step 2: Convert to fraction form
    365.93/505.05 = 247.90/x
  3. Step 3: Cross multiply
    365.93x = 505.05 × 247.90
  4. Step 4: Simplify right side
    365.93x = 125,198.13
  5. Step 5: Solve for x
    x = 125,198.13/365.93
  6. Step 6: Final answer
    x = 342.14

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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.