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Finding the Fourth Proportional to 307.45, 424.28 and 176.45

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Solution

The fourth proportional to 307.45, 424.28 and 176.45 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 424.28 = 176.45 : x
  2. Step 2: Convert to fraction form
    307.45/424.28 = 176.45/x
  3. Step 3: Cross multiply
    307.45x = 424.28 × 176.45
  4. Step 4: Simplify right side
    307.45x = 74,864.21
  5. Step 5: Solve for x
    x = 74,864.21/307.45
  6. Step 6: Final answer
    x = 243.50

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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.