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Finding the Fourth Proportional to 242.45, 334.76 and 224.01

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Solution

The fourth proportional to 242.45, 334.76 and 224.01 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 334.76 = 224.01 : x
  2. Step 2: Convert to fraction form
    242.45/334.76 = 224.01/x
  3. Step 3: Cross multiply
    242.45x = 334.76 × 224.01
  4. Step 4: Simplify right side
    242.45x = 74,988.47
  5. Step 5: Solve for x
    x = 74,988.47/242.45
  6. Step 6: Final answer
    x = 309.30

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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.