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Finding the Fourth Proportional to 230.32, 317.84 and 164.93

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Solution

The fourth proportional to 230.32, 317.84 and 164.93 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 317.84 = 164.93 : x
  2. Step 2: Convert to fraction form
    230.32/317.84 = 164.93/x
  3. Step 3: Cross multiply
    230.32x = 317.84 × 164.93
  4. Step 4: Simplify right side
    230.32x = 52,421.35
  5. Step 5: Solve for x
    x = 52,421.35/230.32
  6. Step 6: Final answer
    x = 227.60

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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.