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Finding the Fourth Proportional to 659.17, 988.66 and 196.93

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Solution

The fourth proportional to 659.17, 988.66 and 196.93 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.17 : 988.66 = 196.93 : x
  2. Step 2: Convert to fraction form
    659.17/988.66 = 196.93/x
  3. Step 3: Cross multiply
    659.17x = 988.66 × 196.93
  4. Step 4: Simplify right side
    659.17x = 194,696.81
  5. Step 5: Solve for x
    x = 194,696.81/659.17
  6. Step 6: Final answer
    x = 295.37

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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.