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Finding the Fourth Proportional to 152.67, 210.94 and 148.78

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Solution

The fourth proportional to 152.67, 210.94 and 148.78 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.67 : 210.94 = 148.78 : x
  2. Step 2: Convert to fraction form
    152.67/210.94 = 148.78/x
  3. Step 3: Cross multiply
    152.67x = 210.94 × 148.78
  4. Step 4: Simplify right side
    152.67x = 31,383.65
  5. Step 5: Solve for x
    x = 31,383.65/152.67
  6. Step 6: Final answer
    x = 205.57

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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.