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Finding the Fourth Proportional to 213, 319.50 and 84.75

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Solution

The fourth proportional to 213, 319.50 and 84.75 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.50 = 84.75 : x
  2. Step 2: Convert to fraction form
    213/319.50 = 84.75/x
  3. Step 3: Cross multiply
    213x = 319.50 × 84.75
  4. Step 4: Simplify right side
    213x = 27,077.63
  5. Step 5: Solve for x
    x = 27,077.63/213
  6. Step 6: Final answer
    x = 127.13

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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.