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Finding the Fourth Proportional to 242.00, 333.74 and 153.46

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Solution

The fourth proportional to 242.00, 333.74 and 153.46 is: 211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.00 : 333.74 = 153.46 : x
  2. Step 2: Convert to fraction form
    242.00/333.74 = 153.46/x
  3. Step 3: Cross multiply
    242.00x = 333.74 × 153.46
  4. Step 4: Simplify right side
    242.00x = 51,215.68
  5. Step 5: Solve for x
    x = 51,215.68/242.00
  6. Step 6: Final answer
    x = 211.63

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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.