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Finding the Fourth Proportional to 307.25, 424.03 and 176.27

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Solution

The fourth proportional to 307.25, 424.03 and 176.27 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 424.03 = 176.27 : x
  2. Step 2: Convert to fraction form
    307.25/424.03 = 176.27/x
  3. Step 3: Cross multiply
    307.25x = 424.03 × 176.27
  4. Step 4: Simplify right side
    307.25x = 74,741.21
  5. Step 5: Solve for x
    x = 74,741.21/307.25
  6. Step 6: Final answer
    x = 243.26

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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.