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Finding the Fourth Proportional to 294, 405.62 and 177.36

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Solution

The fourth proportional to 294, 405.62 and 177.36 is: 244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 405.62 = 177.36 : x
  2. Step 2: Convert to fraction form
    294/405.62 = 177.36/x
  3. Step 3: Cross multiply
    294x = 405.62 × 177.36
  4. Step 4: Simplify right side
    294x = 71,940.76
  5. Step 5: Solve for x
    x = 71,940.76/294
  6. Step 6: Final answer
    x = 244.70

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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.