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Finding the Fourth Proportional to 199.79, 275.53 and 153.05

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Solution

The fourth proportional to 199.79, 275.53 and 153.05 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.79 : 275.53 = 153.05 : x
  2. Step 2: Convert to fraction form
    199.79/275.53 = 153.05/x
  3. Step 3: Cross multiply
    199.79x = 275.53 × 153.05
  4. Step 4: Simplify right side
    199.79x = 42,168.64
  5. Step 5: Solve for x
    x = 42,168.64/199.79
  6. Step 6: Final answer
    x = 211.07

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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.