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Finding the Fourth Proportional to 230.32, 345.06 and 189.64

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Solution

The fourth proportional to 230.32, 345.06 and 189.64 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 345.06 = 189.64 : x
  2. Step 2: Convert to fraction form
    230.32/345.06 = 189.64/x
  3. Step 3: Cross multiply
    230.32x = 345.06 × 189.64
  4. Step 4: Simplify right side
    230.32x = 65,437.18
  5. Step 5: Solve for x
    x = 65,437.18/230.32
  6. Step 6: Final answer
    x = 284.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.