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Finding the Fourth Proportional to 298.64, 412.29 and 188.15

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Solution

The fourth proportional to 298.64, 412.29 and 188.15 is: 259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 412.29 = 188.15 : x
  2. Step 2: Convert to fraction form
    298.64/412.29 = 188.15/x
  3. Step 3: Cross multiply
    298.64x = 412.29 × 188.15
  4. Step 4: Simplify right side
    298.64x = 77,570.30
  5. Step 5: Solve for x
    x = 77,570.30/298.64
  6. Step 6: Final answer
    x = 259.74

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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.