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Finding the Fourth Proportional to 152.29, 210.43 and 119.80

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Solution

The fourth proportional to 152.29, 210.43 and 119.80 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.29 : 210.43 = 119.80 : x
  2. Step 2: Convert to fraction form
    152.29/210.43 = 119.80/x
  3. Step 3: Cross multiply
    152.29x = 210.43 × 119.80
  4. Step 4: Simplify right side
    152.29x = 25,209.51
  5. Step 5: Solve for x
    x = 25,209.51/152.29
  6. Step 6: Final answer
    x = 165.54

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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.