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Finding the Fourth Proportional to 298.51, 412.00 and 193.59

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Solution

The fourth proportional to 298.51, 412.00 and 193.59 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 412.00 = 193.59 : x
  2. Step 2: Convert to fraction form
    298.51/412.00 = 193.59/x
  3. Step 3: Cross multiply
    298.51x = 412.00 × 193.59
  4. Step 4: Simplify right side
    298.51x = 79,758.60
  5. Step 5: Solve for x
    x = 79,758.60/298.51
  6. Step 6: Final answer
    x = 267.19

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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.