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Finding the Fourth Proportional to 196.15, 270.64 and 117.47

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Solution

The fourth proportional to 196.15, 270.64 and 117.47 is: 162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.15 : 270.64 = 117.47 : x
  2. Step 2: Convert to fraction form
    196.15/270.64 = 117.47/x
  3. Step 3: Cross multiply
    196.15x = 270.64 × 117.47
  4. Step 4: Simplify right side
    196.15x = 31,792.08
  5. Step 5: Solve for x
    x = 31,792.08/196.15
  6. Step 6: Final answer
    x = 162.08

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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.