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Finding the Fourth Proportional to 210.94, 315.86 and 146.14

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Solution

The fourth proportional to 210.94, 315.86 and 146.14 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 315.86 = 146.14 : x
  2. Step 2: Convert to fraction form
    210.94/315.86 = 146.14/x
  3. Step 3: Cross multiply
    210.94x = 315.86 × 146.14
  4. Step 4: Simplify right side
    210.94x = 46,159.78
  5. Step 5: Solve for x
    x = 46,159.78/210.94
  6. Step 6: Final answer
    x = 218.83

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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.