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Finding the Fourth Proportional to 370.77, 556.29 and 188.25

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Solution

The fourth proportional to 370.77, 556.29 and 188.25 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.77 : 556.29 = 188.25 : x
  2. Step 2: Convert to fraction form
    370.77/556.29 = 188.25/x
  3. Step 3: Cross multiply
    370.77x = 556.29 × 188.25
  4. Step 4: Simplify right side
    370.77x = 104,721.59
  5. Step 5: Solve for x
    x = 104,721.59/370.77
  6. Step 6: Final answer
    x = 282.44

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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.