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Finding the Fourth Proportional to 298.92, 412.58 and 188.49

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Solution

The fourth proportional to 298.92, 412.58 and 188.49 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 412.58 = 188.49 : x
  2. Step 2: Convert to fraction form
    298.92/412.58 = 188.49/x
  3. Step 3: Cross multiply
    298.92x = 412.58 × 188.49
  4. Step 4: Simplify right side
    298.92x = 77,767.20
  5. Step 5: Solve for x
    x = 77,767.20/298.92
  6. Step 6: Final answer
    x = 260.16

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