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Finding the Fourth Proportional to 215.14, 322.81 and 107.00

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Solution

The fourth proportional to 215.14, 322.81 and 107.00 is: 160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.14 : 322.81 = 107.00 : x
  2. Step 2: Convert to fraction form
    215.14/322.81 = 107.00/x
  3. Step 3: Cross multiply
    215.14x = 322.81 × 107.00
  4. Step 4: Simplify right side
    215.14x = 34,541.21
  5. Step 5: Solve for x
    x = 34,541.21/215.14
  6. Step 6: Final answer
    x = 160.55

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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.