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Finding the Fourth Proportional to 371.23, 556.90 and 188.53

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Solution

The fourth proportional to 371.23, 556.90 and 188.53 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.23 : 556.90 = 188.53 : x
  2. Step 2: Convert to fraction form
    371.23/556.90 = 188.53/x
  3. Step 3: Cross multiply
    371.23x = 556.90 × 188.53
  4. Step 4: Simplify right side
    371.23x = 104,991.02
  5. Step 5: Solve for x
    x = 104,991.02/371.23
  6. Step 6: Final answer
    x = 282.82

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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.