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Finding the Fourth Proportional to 294, 405.48 and 195.72

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Solution

The fourth proportional to 294, 405.48 and 195.72 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 405.48 = 195.72 : x
  2. Step 2: Convert to fraction form
    294/405.48 = 195.72/x
  3. Step 3: Cross multiply
    294x = 405.48 × 195.72
  4. Step 4: Simplify right side
    294x = 79,360.55
  5. Step 5: Solve for x
    x = 79,360.55/294
  6. Step 6: Final answer
    x = 269.93

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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.