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Finding the Fourth Proportional to 275.71, 413.19 and 152.02

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Solution

The fourth proportional to 275.71, 413.19 and 152.02 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.71 : 413.19 = 152.02 : x
  2. Step 2: Convert to fraction form
    275.71/413.19 = 152.02/x
  3. Step 3: Cross multiply
    275.71x = 413.19 × 152.02
  4. Step 4: Simplify right side
    275.71x = 62,813.14
  5. Step 5: Solve for x
    x = 62,813.14/275.71
  6. Step 6: Final answer
    x = 227.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.