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Finding the Fourth Proportional to 543.84, 815.85 and 178.74

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Solution

The fourth proportional to 543.84, 815.85 and 178.74 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 815.85 = 178.74 : x
  2. Step 2: Convert to fraction form
    543.84/815.85 = 178.74/x
  3. Step 3: Cross multiply
    543.84x = 815.85 × 178.74
  4. Step 4: Simplify right side
    543.84x = 145,825.03
  5. Step 5: Solve for x
    x = 145,825.03/543.84
  6. Step 6: Final answer
    x = 268.14

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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.