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Finding the Fourth Proportional to 262.19, 393.42 and 185.65

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Solution

The fourth proportional to 262.19, 393.42 and 185.65 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.19 : 393.42 = 185.65 : x
  2. Step 2: Convert to fraction form
    262.19/393.42 = 185.65/x
  3. Step 3: Cross multiply
    262.19x = 393.42 × 185.65
  4. Step 4: Simplify right side
    262.19x = 73,038.42
  5. Step 5: Solve for x
    x = 73,038.42/262.19
  6. Step 6: Final answer
    x = 278.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.