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Finding the Fourth Proportional to 230.66, 347.30 and 177.02

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Solution

The fourth proportional to 230.66, 347.30 and 177.02 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 347.30 = 177.02 : x
  2. Step 2: Convert to fraction form
    230.66/347.30 = 177.02/x
  3. Step 3: Cross multiply
    230.66x = 347.30 × 177.02
  4. Step 4: Simplify right side
    230.66x = 61,479.05
  5. Step 5: Solve for x
    x = 61,479.05/230.66
  6. Step 6: Final answer
    x = 266.54

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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.