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Finding the Fourth Proportional to 332.07, 497.64 and 194.93

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Solution

The fourth proportional to 332.07, 497.64 and 194.93 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.07 : 497.64 = 194.93 : x
  2. Step 2: Convert to fraction form
    332.07/497.64 = 194.93/x
  3. Step 3: Cross multiply
    332.07x = 497.64 × 194.93
  4. Step 4: Simplify right side
    332.07x = 97,004.97
  5. Step 5: Solve for x
    x = 97,004.97/332.07
  6. Step 6: Final answer
    x = 292.12

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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.