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Finding the Fourth Proportional to 307.12, 423.76 and 176.12

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Solution

The fourth proportional to 307.12, 423.76 and 176.12 is: 243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 423.76 = 176.12 : x
  2. Step 2: Convert to fraction form
    307.12/423.76 = 176.12/x
  3. Step 3: Cross multiply
    307.12x = 423.76 × 176.12
  4. Step 4: Simplify right side
    307.12x = 74,632.61
  5. Step 5: Solve for x
    x = 74,632.61/307.12
  6. Step 6: Final answer
    x = 243.01

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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.