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Finding the Fourth Proportional to 349.58, 524.37 and 144.00

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Solution

The fourth proportional to 349.58, 524.37 and 144.00 is: 216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.58 : 524.37 = 144.00 : x
  2. Step 2: Convert to fraction form
    349.58/524.37 = 144.00/x
  3. Step 3: Cross multiply
    349.58x = 524.37 × 144.00
  4. Step 4: Simplify right side
    349.58x = 75,511.79
  5. Step 5: Solve for x
    x = 75,511.79/349.58
  6. Step 6: Final answer
    x = 216.01

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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.