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Finding the Fourth Proportional to 219.99, 303.71 and 176.25

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Solution

The fourth proportional to 219.99, 303.71 and 176.25 is: 243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.99 : 303.71 = 176.25 : x
  2. Step 2: Convert to fraction form
    219.99/303.71 = 176.25/x
  3. Step 3: Cross multiply
    219.99x = 303.71 × 176.25
  4. Step 4: Simplify right side
    219.99x = 53,528.01
  5. Step 5: Solve for x
    x = 53,528.01/219.99
  6. Step 6: Final answer
    x = 243.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.