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Finding the Fourth Proportional to 340.37, 469.64 and 193.02

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Solution

The fourth proportional to 340.37, 469.64 and 193.02 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.37 : 469.64 = 193.02 : x
  2. Step 2: Convert to fraction form
    340.37/469.64 = 193.02/x
  3. Step 3: Cross multiply
    340.37x = 469.64 × 193.02
  4. Step 4: Simplify right side
    340.37x = 90,648.95
  5. Step 5: Solve for x
    x = 90,648.95/340.37
  6. Step 6: Final answer
    x = 266.33

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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.