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Finding the Fourth Proportional to 215.74, 322.04 and 190

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Solution

The fourth proportional to 215.74, 322.04 and 190 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 322.04 = 190 : x
  2. Step 2: Convert to fraction form
    215.74/322.04 = 190/x
  3. Step 3: Cross multiply
    215.74x = 322.04 × 190
  4. Step 4: Simplify right side
    215.74x = 61,187.60
  5. Step 5: Solve for x
    x = 61,187.60/215.74
  6. Step 6: Final answer
    x = 283.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.