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Finding the Fourth Proportional to 307.53, 424.27 and 176.46

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Solution

The fourth proportional to 307.53, 424.27 and 176.46 is: 243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 424.27 = 176.46 : x
  2. Step 2: Convert to fraction form
    307.53/424.27 = 176.46/x
  3. Step 3: Cross multiply
    307.53x = 424.27 × 176.46
  4. Step 4: Simplify right side
    307.53x = 74,867.50
  5. Step 5: Solve for x
    x = 74,867.50/307.53
  6. Step 6: Final answer
    x = 243.45

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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.