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Finding the Fourth Proportional to 394.22, 590.42 and 188.93

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Solution

The fourth proportional to 394.22, 590.42 and 188.93 is: 282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.22 : 590.42 = 188.93 : x
  2. Step 2: Convert to fraction form
    394.22/590.42 = 188.93/x
  3. Step 3: Cross multiply
    394.22x = 590.42 × 188.93
  4. Step 4: Simplify right side
    394.22x = 111,547.51
  5. Step 5: Solve for x
    x = 111,547.51/394.22
  6. Step 6: Final answer
    x = 282.96

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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.