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Finding the Fourth Proportional to 230.67, 347.45 and 176.94

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Solution

The fourth proportional to 230.67, 347.45 and 176.94 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 347.45 = 176.94 : x
  2. Step 2: Convert to fraction form
    230.67/347.45 = 176.94/x
  3. Step 3: Cross multiply
    230.67x = 347.45 × 176.94
  4. Step 4: Simplify right side
    230.67x = 61,476.92
  5. Step 5: Solve for x
    x = 61,476.92/230.67
  6. Step 6: Final answer
    x = 266.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.