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Finding the Fourth Proportional to 307.84, 461.64 and 161.55

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Solution

The fourth proportional to 307.84, 461.64 and 161.55 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 461.64 = 161.55 : x
  2. Step 2: Convert to fraction form
    307.84/461.64 = 161.55/x
  3. Step 3: Cross multiply
    307.84x = 461.64 × 161.55
  4. Step 4: Simplify right side
    307.84x = 74,577.94
  5. Step 5: Solve for x
    x = 74,577.94/307.84
  6. Step 6: Final answer
    x = 242.26

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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.