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Finding the Fourth Proportional to 235.72, 325.62 and 178.24

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Solution

The fourth proportional to 235.72, 325.62 and 178.24 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 325.62 = 178.24 : x
  2. Step 2: Convert to fraction form
    235.72/325.62 = 178.24/x
  3. Step 3: Cross multiply
    235.72x = 325.62 × 178.24
  4. Step 4: Simplify right side
    235.72x = 58,038.51
  5. Step 5: Solve for x
    x = 58,038.51/235.72
  6. Step 6: Final answer
    x = 246.22

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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.