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Finding the Fourth Proportional to 200.04, 298.29 and 189.24

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Solution

The fourth proportional to 200.04, 298.29 and 189.24 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 298.29 = 189.24 : x
  2. Step 2: Convert to fraction form
    200.04/298.29 = 189.24/x
  3. Step 3: Cross multiply
    200.04x = 298.29 × 189.24
  4. Step 4: Simplify right side
    200.04x = 56,448.40
  5. Step 5: Solve for x
    x = 56,448.40/200.04
  6. Step 6: Final answer
    x = 282.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.