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Finding the Fourth Proportional to 242, 333.96 and 159.16

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Solution

The fourth proportional to 242, 333.96 and 159.16 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 333.96 = 159.16 : x
  2. Step 2: Convert to fraction form
    242/333.96 = 159.16/x
  3. Step 3: Cross multiply
    242x = 333.96 × 159.16
  4. Step 4: Simplify right side
    242x = 53,153.07
  5. Step 5: Solve for x
    x = 53,153.07/242
  6. Step 6: Final answer
    x = 219.64

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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.