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Finding the Fourth Proportional to 620.89, 931.41 and 188.05

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Solution

The fourth proportional to 620.89, 931.41 and 188.05 is: 282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.89 : 931.41 = 188.05 : x
  2. Step 2: Convert to fraction form
    620.89/931.41 = 188.05/x
  3. Step 3: Cross multiply
    620.89x = 931.41 × 188.05
  4. Step 4: Simplify right side
    620.89x = 175,151.65
  5. Step 5: Solve for x
    x = 175,151.65/620.89
  6. Step 6: Final answer
    x = 282.10

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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.