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Finding the Fourth Proportional to 196.02, 294.59 and 127.98

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Solution

The fourth proportional to 196.02, 294.59 and 127.98 is: 192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 294.59 = 127.98 : x
  2. Step 2: Convert to fraction form
    196.02/294.59 = 127.98/x
  3. Step 3: Cross multiply
    196.02x = 294.59 × 127.98
  4. Step 4: Simplify right side
    196.02x = 37,701.63
  5. Step 5: Solve for x
    x = 37,701.63/196.02
  6. Step 6: Final answer
    x = 192.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.