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Finding the Fourth Proportional to 193.47, 289.94 and 97.35

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Solution

The fourth proportional to 193.47, 289.94 and 97.35 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 289.94 = 97.35 : x
  2. Step 2: Convert to fraction form
    193.47/289.94 = 97.35/x
  3. Step 3: Cross multiply
    193.47x = 289.94 × 97.35
  4. Step 4: Simplify right side
    193.47x = 28,225.17
  5. Step 5: Solve for x
    x = 28,225.17/193.47
  6. Step 6: Final answer
    x = 145.89

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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.