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Finding the Fourth Proportional to 393.50, 590.52 and 188.24

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Solution

The fourth proportional to 393.50, 590.52 and 188.24 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 590.52 = 188.24 : x
  2. Step 2: Convert to fraction form
    393.50/590.52 = 188.24/x
  3. Step 3: Cross multiply
    393.50x = 590.52 × 188.24
  4. Step 4: Simplify right side
    393.50x = 111,159.48
  5. Step 5: Solve for x
    x = 111,159.48/393.50
  6. Step 6: Final answer
    x = 282.49

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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.