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Finding the Fourth Proportional to 235.50, 325.08 and 158.10

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Solution

The fourth proportional to 235.50, 325.08 and 158.10 is: 218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.50 : 325.08 = 158.10 : x
  2. Step 2: Convert to fraction form
    235.50/325.08 = 158.10/x
  3. Step 3: Cross multiply
    235.50x = 325.08 × 158.10
  4. Step 4: Simplify right side
    235.50x = 51,395.15
  5. Step 5: Solve for x
    x = 51,395.15/235.50
  6. Step 6: Final answer
    x = 218.24

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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.