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Finding the Fourth Proportional to 230.02, 317.59 and 164.61

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Solution

The fourth proportional to 230.02, 317.59 and 164.61 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 317.59 = 164.61 : x
  2. Step 2: Convert to fraction form
    230.02/317.59 = 164.61/x
  3. Step 3: Cross multiply
    230.02x = 317.59 × 164.61
  4. Step 4: Simplify right side
    230.02x = 52,278.08
  5. Step 5: Solve for x
    x = 52,278.08/230.02
  6. Step 6: Final answer
    x = 227.28

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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.