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Finding the Fourth Proportional to 146.31, 219.00 and 117.30

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Solution

The fourth proportional to 146.31, 219.00 and 117.30 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.00 = 117.30 : x
  2. Step 2: Convert to fraction form
    146.31/219.00 = 117.30/x
  3. Step 3: Cross multiply
    146.31x = 219.00 × 117.30
  4. Step 4: Simplify right side
    146.31x = 25,688.73
  5. Step 5: Solve for x
    x = 25,688.73/146.31
  6. Step 6: Final answer
    x = 175.58

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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.