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Finding the Fourth Proportional to 199.64, 275.70 and 170.36

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Solution

The fourth proportional to 199.64, 275.70 and 170.36 is: 235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.64 : 275.70 = 170.36 : x
  2. Step 2: Convert to fraction form
    199.64/275.70 = 170.36/x
  3. Step 3: Cross multiply
    199.64x = 275.70 × 170.36
  4. Step 4: Simplify right side
    199.64x = 46,968.25
  5. Step 5: Solve for x
    x = 46,968.25/199.64
  6. Step 6: Final answer
    x = 235.26

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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.