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Finding the Fourth Proportional to 231.84, 320.23 and 192.65

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Solution

The fourth proportional to 231.84, 320.23 and 192.65 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 320.23 = 192.65 : x
  2. Step 2: Convert to fraction form
    231.84/320.23 = 192.65/x
  3. Step 3: Cross multiply
    231.84x = 320.23 × 192.65
  4. Step 4: Simplify right side
    231.84x = 61,693.11
  5. Step 5: Solve for x
    x = 61,693.11/231.84
  6. Step 6: Final answer
    x = 266.11

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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.