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Finding the Fourth Proportional to 340.34, 469.71 and 193.01

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Solution

The fourth proportional to 340.34, 469.71 and 193.01 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 469.71 = 193.01 : x
  2. Step 2: Convert to fraction form
    340.34/469.71 = 193.01/x
  3. Step 3: Cross multiply
    340.34x = 469.71 × 193.01
  4. Step 4: Simplify right side
    340.34x = 90,656.38
  5. Step 5: Solve for x
    x = 90,656.38/340.34
  6. Step 6: Final answer
    x = 266.37

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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.