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Finding the Fourth Proportional to 220.25, 302.60 and 176.51

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Solution

The fourth proportional to 220.25, 302.60 and 176.51 is: 242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 302.60 = 176.51 : x
  2. Step 2: Convert to fraction form
    220.25/302.60 = 176.51/x
  3. Step 3: Cross multiply
    220.25x = 302.60 × 176.51
  4. Step 4: Simplify right side
    220.25x = 53,413.12
  5. Step 5: Solve for x
    x = 53,413.12/220.25
  6. Step 6: Final answer
    x = 242.51

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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.