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Finding the Fourth Proportional to 152.74, 210.78 and 119.93

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Solution

The fourth proportional to 152.74, 210.78 and 119.93 is: 165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 210.78 = 119.93 : x
  2. Step 2: Convert to fraction form
    152.74/210.78 = 119.93/x
  3. Step 3: Cross multiply
    152.74x = 210.78 × 119.93
  4. Step 4: Simplify right side
    152.74x = 25,278.25
  5. Step 5: Solve for x
    x = 25,278.25/152.74
  6. Step 6: Final answer
    x = 165.50

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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.