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Finding the Fourth Proportional to 242.02, 333.89 and 159.23

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Solution

The fourth proportional to 242.02, 333.89 and 159.23 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 333.89 = 159.23 : x
  2. Step 2: Convert to fraction form
    242.02/333.89 = 159.23/x
  3. Step 3: Cross multiply
    242.02x = 333.89 × 159.23
  4. Step 4: Simplify right side
    242.02x = 53,165.94
  5. Step 5: Solve for x
    x = 53,165.94/242.02
  6. Step 6: Final answer
    x = 219.67

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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.