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Finding the Fourth Proportional to 288.89, 398.59 and 178.37

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Solution

The fourth proportional to 288.89, 398.59 and 178.37 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 398.59 = 178.37 : x
  2. Step 2: Convert to fraction form
    288.89/398.59 = 178.37/x
  3. Step 3: Cross multiply
    288.89x = 398.59 × 178.37
  4. Step 4: Simplify right side
    288.89x = 71,094.51
  5. Step 5: Solve for x
    x = 71,094.51/288.89
  6. Step 6: Final answer
    x = 246.10

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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.