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Finding the Fourth Proportional to 299.10, 412.61 and 188.54

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Solution

The fourth proportional to 299.10, 412.61 and 188.54 is: 260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.61 = 188.54 : x
  2. Step 2: Convert to fraction form
    299.10/412.61 = 188.54/x
  3. Step 3: Cross multiply
    299.10x = 412.61 × 188.54
  4. Step 4: Simplify right side
    299.10x = 77,792.03
  5. Step 5: Solve for x
    x = 77,792.03/299.10
  6. Step 6: Final answer
    x = 260.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.