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Finding the Fourth Proportional to 370.66, 556.01 and 188.01

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Solution

The fourth proportional to 370.66, 556.01 and 188.01 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.66 : 556.01 = 188.01 : x
  2. Step 2: Convert to fraction form
    370.66/556.01 = 188.01/x
  3. Step 3: Cross multiply
    370.66x = 556.01 × 188.01
  4. Step 4: Simplify right side
    370.66x = 104,535.44
  5. Step 5: Solve for x
    x = 104,535.44/370.66
  6. Step 6: Final answer
    x = 282.03

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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.