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Finding the Fourth Proportional to 349.47, 524.10 and 164.40

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Solution

The fourth proportional to 349.47, 524.10 and 164.40 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.47 : 524.10 = 164.40 : x
  2. Step 2: Convert to fraction form
    349.47/524.10 = 164.40/x
  3. Step 3: Cross multiply
    349.47x = 524.10 × 164.40
  4. Step 4: Simplify right side
    349.47x = 86,162.04
  5. Step 5: Solve for x
    x = 86,162.04/349.47
  6. Step 6: Final answer
    x = 246.55

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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.