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Finding the Fourth Proportional to 296.63, 444.83 and 188.29

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Solution

The fourth proportional to 296.63, 444.83 and 188.29 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.63 : 444.83 = 188.29 : x
  2. Step 2: Convert to fraction form
    296.63/444.83 = 188.29/x
  3. Step 3: Cross multiply
    296.63x = 444.83 × 188.29
  4. Step 4: Simplify right side
    296.63x = 83,754.82
  5. Step 5: Solve for x
    x = 83,754.82/296.63
  6. Step 6: Final answer
    x = 282.36

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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.