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Finding the Fourth Proportional to 170.06, 233.42 and 153.68

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Solution

The fourth proportional to 170.06, 233.42 and 153.68 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 233.42 = 153.68 : x
  2. Step 2: Convert to fraction form
    170.06/233.42 = 153.68/x
  3. Step 3: Cross multiply
    170.06x = 233.42 × 153.68
  4. Step 4: Simplify right side
    170.06x = 35,870.05
  5. Step 5: Solve for x
    x = 35,870.05/170.06
  6. Step 6: Final answer
    x = 210.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.