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Finding the Fourth Proportional to 562, 842.84 and 177.12

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Solution

The fourth proportional to 562, 842.84 and 177.12 is: 265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 842.84 = 177.12 : x
  2. Step 2: Convert to fraction form
    562/842.84 = 177.12/x
  3. Step 3: Cross multiply
    562x = 842.84 × 177.12
  4. Step 4: Simplify right side
    562x = 149,283.82
  5. Step 5: Solve for x
    x = 149,283.82/562
  6. Step 6: Final answer
    x = 265.63

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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.