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Finding the Fourth Proportional to 298.62, 412.32 and 188.13

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Solution

The fourth proportional to 298.62, 412.32 and 188.13 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 412.32 = 188.13 : x
  2. Step 2: Convert to fraction form
    298.62/412.32 = 188.13/x
  3. Step 3: Cross multiply
    298.62x = 412.32 × 188.13
  4. Step 4: Simplify right side
    298.62x = 77,569.76
  5. Step 5: Solve for x
    x = 77,569.76/298.62
  6. Step 6: Final answer
    x = 259.76

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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.