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Finding the Fourth Proportional to 277.61, 416.25 and 204.53

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Solution

The fourth proportional to 277.61, 416.25 and 204.53 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.61 : 416.25 = 204.53 : x
  2. Step 2: Convert to fraction form
    277.61/416.25 = 204.53/x
  3. Step 3: Cross multiply
    277.61x = 416.25 × 204.53
  4. Step 4: Simplify right side
    277.61x = 85,133.53
  5. Step 5: Solve for x
    x = 85,133.53/277.61
  6. Step 6: Final answer
    x = 306.67

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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.