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Finding the Fourth Proportional to 215.13, 321.46 and 146.08

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Solution

The fourth proportional to 215.13, 321.46 and 146.08 is: 218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 321.46 = 146.08 : x
  2. Step 2: Convert to fraction form
    215.13/321.46 = 146.08/x
  3. Step 3: Cross multiply
    215.13x = 321.46 × 146.08
  4. Step 4: Simplify right side
    215.13x = 46,957.27
  5. Step 5: Solve for x
    x = 46,957.27/215.13
  6. Step 6: Final answer
    x = 218.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.