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Finding the Fourth Proportional to 349.87, 524.80 and 106.40

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Solution

The fourth proportional to 349.87, 524.80 and 106.40 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.87 : 524.80 = 106.40 : x
  2. Step 2: Convert to fraction form
    349.87/524.80 = 106.40/x
  3. Step 3: Cross multiply
    349.87x = 524.80 × 106.40
  4. Step 4: Simplify right side
    349.87x = 55,838.72
  5. Step 5: Solve for x
    x = 55,838.72/349.87
  6. Step 6: Final answer
    x = 159.60

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