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Finding the Fourth Proportional to 159.84, 219.39 and 153.16

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Solution

The fourth proportional to 159.84, 219.39 and 153.16 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 219.39 = 153.16 : x
  2. Step 2: Convert to fraction form
    159.84/219.39 = 153.16/x
  3. Step 3: Cross multiply
    159.84x = 219.39 × 153.16
  4. Step 4: Simplify right side
    159.84x = 33,601.77
  5. Step 5: Solve for x
    x = 33,601.77/159.84
  6. Step 6: Final answer
    x = 210.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.