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Finding the Fourth Proportional to 381.89, 526.95 and 224.50

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Solution

The fourth proportional to 381.89, 526.95 and 224.50 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 526.95 = 224.50 : x
  2. Step 2: Convert to fraction form
    381.89/526.95 = 224.50/x
  3. Step 3: Cross multiply
    381.89x = 526.95 × 224.50
  4. Step 4: Simplify right side
    381.89x = 118,298.96
  5. Step 5: Solve for x
    x = 118,298.96/381.89
  6. Step 6: Final answer
    x = 309.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.