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Finding the Fourth Proportional to 193.99, 292.03 and 176.98

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Solution

The fourth proportional to 193.99, 292.03 and 176.98 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.99 : 292.03 = 176.98 : x
  2. Step 2: Convert to fraction form
    193.99/292.03 = 176.98/x
  3. Step 3: Cross multiply
    193.99x = 292.03 × 176.98
  4. Step 4: Simplify right side
    193.99x = 51,681.12
  5. Step 5: Solve for x
    x = 51,681.12/193.99
  6. Step 6: Final answer
    x = 266.42

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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.