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Finding the Fourth Proportional to 199.77, 275.76 and 156.12

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Solution

The fourth proportional to 199.77, 275.76 and 156.12 is: 215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.77 : 275.76 = 156.12 : x
  2. Step 2: Convert to fraction form
    199.77/275.76 = 156.12/x
  3. Step 3: Cross multiply
    199.77x = 275.76 × 156.12
  4. Step 4: Simplify right side
    199.77x = 43,051.65
  5. Step 5: Solve for x
    x = 43,051.65/199.77
  6. Step 6: Final answer
    x = 215.51

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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.