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Finding the Fourth Proportional to 230.90, 345.33 and 173.39

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Solution

The fourth proportional to 230.90, 345.33 and 173.39 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 345.33 = 173.39 : x
  2. Step 2: Convert to fraction form
    230.90/345.33 = 173.39/x
  3. Step 3: Cross multiply
    230.90x = 345.33 × 173.39
  4. Step 4: Simplify right side
    230.90x = 59,875.04
  5. Step 5: Solve for x
    x = 59,875.04/230.90
  6. Step 6: Final answer
    x = 259.32

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