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Finding the Fourth Proportional to 159.07, 219.41 and 146.00

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Solution

The fourth proportional to 159.07, 219.41 and 146.00 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.07 : 219.41 = 146.00 : x
  2. Step 2: Convert to fraction form
    159.07/219.41 = 146.00/x
  3. Step 3: Cross multiply
    159.07x = 219.41 × 146.00
  4. Step 4: Simplify right side
    159.07x = 32,033.54
  5. Step 5: Solve for x
    x = 32,033.54/159.07
  6. Step 6: Final answer
    x = 201.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.