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Finding the Fourth Proportional to 194.58, 293.58 and 192.96

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Solution

The fourth proportional to 194.58, 293.58 and 192.96 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 293.58 = 192.96 : x
  2. Step 2: Convert to fraction form
    194.58/293.58 = 192.96/x
  3. Step 3: Cross multiply
    194.58x = 293.58 × 192.96
  4. Step 4: Simplify right side
    194.58x = 56,649.20
  5. Step 5: Solve for x
    x = 56,649.20/194.58
  6. Step 6: Final answer
    x = 291.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.