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Finding the Fourth Proportional to 378.16, 521.84 and 210.08

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Solution

The fourth proportional to 378.16, 521.84 and 210.08 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 521.84 = 210.08 : x
  2. Step 2: Convert to fraction form
    378.16/521.84 = 210.08/x
  3. Step 3: Cross multiply
    378.16x = 521.84 × 210.08
  4. Step 4: Simplify right side
    378.16x = 109,628.15
  5. Step 5: Solve for x
    x = 109,628.15/378.16
  6. Step 6: Final answer
    x = 289.90

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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.