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Finding the Fourth Proportional to 340.47, 469.89 and 193.16

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Solution

The fourth proportional to 340.47, 469.89 and 193.16 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 469.89 = 193.16 : x
  2. Step 2: Convert to fraction form
    340.47/469.89 = 193.16/x
  3. Step 3: Cross multiply
    340.47x = 469.89 × 193.16
  4. Step 4: Simplify right side
    340.47x = 90,760.64
  5. Step 5: Solve for x
    x = 90,760.64/340.47
  6. Step 6: Final answer
    x = 266.57

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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.