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Finding the Fourth Proportional to 341.50, 512.25 and 189.50

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Solution

The fourth proportional to 341.50, 512.25 and 189.50 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.50 : 512.25 = 189.50 : x
  2. Step 2: Convert to fraction form
    341.50/512.25 = 189.50/x
  3. Step 3: Cross multiply
    341.50x = 512.25 × 189.50
  4. Step 4: Simplify right side
    341.50x = 97,071.38
  5. Step 5: Solve for x
    x = 97,071.38/341.50
  6. Step 6: Final answer
    x = 284.25

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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.