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Finding the Fourth Proportional to 651.88, 978.08 and 213.16

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Solution

The fourth proportional to 651.88, 978.08 and 213.16 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 978.08 = 213.16 : x
  2. Step 2: Convert to fraction form
    651.88/978.08 = 213.16/x
  3. Step 3: Cross multiply
    651.88x = 978.08 × 213.16
  4. Step 4: Simplify right side
    651.88x = 208,487.53
  5. Step 5: Solve for x
    x = 208,487.53/651.88
  6. Step 6: Final answer
    x = 319.83

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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.