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Finding the Fourth Proportional to 194.37, 268.08 and 152.87

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Solution

The fourth proportional to 194.37, 268.08 and 152.87 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.37 : 268.08 = 152.87 : x
  2. Step 2: Convert to fraction form
    194.37/268.08 = 152.87/x
  3. Step 3: Cross multiply
    194.37x = 268.08 × 152.87
  4. Step 4: Simplify right side
    194.37x = 40,980.05
  5. Step 5: Solve for x
    x = 40,980.05/194.37
  6. Step 6: Final answer
    x = 210.84

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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.