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Finding the Fourth Proportional to 308.09, 461.53 and 242.74

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Solution

The fourth proportional to 308.09, 461.53 and 242.74 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.09 : 461.53 = 242.74 : x
  2. Step 2: Convert to fraction form
    308.09/461.53 = 242.74/x
  3. Step 3: Cross multiply
    308.09x = 461.53 × 242.74
  4. Step 4: Simplify right side
    308.09x = 112,031.79
  5. Step 5: Solve for x
    x = 112,031.79/308.09
  6. Step 6: Final answer
    x = 363.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.