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Finding the Fourth Proportional to 341.93, 512.97 and 188.01

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Solution

The fourth proportional to 341.93, 512.97 and 188.01 is: 282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.93 : 512.97 = 188.01 : x
  2. Step 2: Convert to fraction form
    341.93/512.97 = 188.01/x
  3. Step 3: Cross multiply
    341.93x = 512.97 × 188.01
  4. Step 4: Simplify right side
    341.93x = 96,443.49
  5. Step 5: Solve for x
    x = 96,443.49/341.93
  6. Step 6: Final answer
    x = 282.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.