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Finding the Fourth Proportional to 349.97, 524.85 and 164.90

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Solution

The fourth proportional to 349.97, 524.85 and 164.90 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 524.85 = 164.90 : x
  2. Step 2: Convert to fraction form
    349.97/524.85 = 164.90/x
  3. Step 3: Cross multiply
    349.97x = 524.85 × 164.90
  4. Step 4: Simplify right side
    349.97x = 86,547.77
  5. Step 5: Solve for x
    x = 86,547.77/349.97
  6. Step 6: Final answer
    x = 247.30

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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.