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Finding the Fourth Proportional to 531.84, 797.74 and 161.63

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Solution

The fourth proportional to 531.84, 797.74 and 161.63 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 797.74 = 161.63 : x
  2. Step 2: Convert to fraction form
    531.84/797.74 = 161.63/x
  3. Step 3: Cross multiply
    531.84x = 797.74 × 161.63
  4. Step 4: Simplify right side
    531.84x = 128,940.45
  5. Step 5: Solve for x
    x = 128,940.45/531.84
  6. Step 6: Final answer
    x = 242.44

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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.