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Finding the Fourth Proportional to 363.18, 544.74 and 201

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Solution

The fourth proportional to 363.18, 544.74 and 201 is: 301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.18 : 544.74 = 201 : x
  2. Step 2: Convert to fraction form
    363.18/544.74 = 201/x
  3. Step 3: Cross multiply
    363.18x = 544.74 × 201
  4. Step 4: Simplify right side
    363.18x = 109,492.74
  5. Step 5: Solve for x
    x = 109,492.74/363.18
  6. Step 6: Final answer
    x = 301.48

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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.