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Finding the Fourth Proportional to 345.09, 476.14 and 197.77

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Solution

The fourth proportional to 345.09, 476.14 and 197.77 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.09 : 476.14 = 197.77 : x
  2. Step 2: Convert to fraction form
    345.09/476.14 = 197.77/x
  3. Step 3: Cross multiply
    345.09x = 476.14 × 197.77
  4. Step 4: Simplify right side
    345.09x = 94,166.21
  5. Step 5: Solve for x
    x = 94,166.21/345.09
  6. Step 6: Final answer
    x = 272.87

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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.