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Finding the Fourth Proportional to 316.24, 474.36 and 192.76

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Solution

The fourth proportional to 316.24, 474.36 and 192.76 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 474.36 = 192.76 : x
  2. Step 2: Convert to fraction form
    316.24/474.36 = 192.76/x
  3. Step 3: Cross multiply
    316.24x = 474.36 × 192.76
  4. Step 4: Simplify right side
    316.24x = 91,437.63
  5. Step 5: Solve for x
    x = 91,437.63/316.24
  6. Step 6: Final answer
    x = 289.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.