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Finding the Fourth Proportional to 381.84, 526.95 and 216.05

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Solution

The fourth proportional to 381.84, 526.95 and 216.05 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 526.95 = 216.05 : x
  2. Step 2: Convert to fraction form
    381.84/526.95 = 216.05/x
  3. Step 3: Cross multiply
    381.84x = 526.95 × 216.05
  4. Step 4: Simplify right side
    381.84x = 113,844.10
  5. Step 5: Solve for x
    x = 113,844.10/381.84
  6. Step 6: Final answer
    x = 298.15

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Why These Related Problems?

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