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Finding the Fourth Proportional to 213, 319.54 and 83

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Solution

The fourth proportional to 213, 319.54 and 83 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 319.54 = 83 : x
  2. Step 2: Convert to fraction form
    213/319.54 = 83/x
  3. Step 3: Cross multiply
    213x = 319.54 × 83
  4. Step 4: Simplify right side
    213x = 26,521.82
  5. Step 5: Solve for x
    x = 26,521.82/213
  6. Step 6: Final answer
    x = 124.52

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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.