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Finding the Fourth Proportional to 194.99, 293.53 and 177.98

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Solution

The fourth proportional to 194.99, 293.53 and 177.98 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.99 : 293.53 = 177.98 : x
  2. Step 2: Convert to fraction form
    194.99/293.53 = 177.98/x
  3. Step 3: Cross multiply
    194.99x = 293.53 × 177.98
  4. Step 4: Simplify right side
    194.99x = 52,242.47
  5. Step 5: Solve for x
    x = 52,242.47/194.99
  6. Step 6: Final answer
    x = 267.92

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