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Finding the Fourth Proportional to 215.74, 322.83 and 190.23

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Solution

The fourth proportional to 215.74, 322.83 and 190.23 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 322.83 = 190.23 : x
  2. Step 2: Convert to fraction form
    215.74/322.83 = 190.23/x
  3. Step 3: Cross multiply
    215.74x = 322.83 × 190.23
  4. Step 4: Simplify right side
    215.74x = 61,411.95
  5. Step 5: Solve for x
    x = 61,411.95/215.74
  6. Step 6: Final answer
    x = 284.66

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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.