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Finding the Fourth Proportional to 199.07, 274.33 and 152.50

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Solution

The fourth proportional to 199.07, 274.33 and 152.50 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.07 : 274.33 = 152.50 : x
  2. Step 2: Convert to fraction form
    199.07/274.33 = 152.50/x
  3. Step 3: Cross multiply
    199.07x = 274.33 × 152.50
  4. Step 4: Simplify right side
    199.07x = 41,834.26
  5. Step 5: Solve for x
    x = 41,834.26/199.07
  6. Step 6: Final answer
    x = 210.15

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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.