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Finding the Fourth Proportional to 340.47, 469.88 and 193.14

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Solution

The fourth proportional to 340.47, 469.88 and 193.14 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 469.88 = 193.14 : x
  2. Step 2: Convert to fraction form
    340.47/469.88 = 193.14/x
  3. Step 3: Cross multiply
    340.47x = 469.88 × 193.14
  4. Step 4: Simplify right side
    340.47x = 90,752.62
  5. Step 5: Solve for x
    x = 90,752.62/340.47
  6. Step 6: Final answer
    x = 266.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.