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Finding the Fourth Proportional to 370.90, 556.38 and 188.18

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Solution

The fourth proportional to 370.90, 556.38 and 188.18 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 556.38 = 188.18 : x
  2. Step 2: Convert to fraction form
    370.90/556.38 = 188.18/x
  3. Step 3: Cross multiply
    370.90x = 556.38 × 188.18
  4. Step 4: Simplify right side
    370.90x = 104,699.59
  5. Step 5: Solve for x
    x = 104,699.59/370.90
  6. Step 6: Final answer
    x = 282.29

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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.