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Finding the Fourth Proportional to 350.80, 526.01 and 145.24

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Solution

The fourth proportional to 350.80, 526.01 and 145.24 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.80 : 526.01 = 145.24 : x
  2. Step 2: Convert to fraction form
    350.80/526.01 = 145.24/x
  3. Step 3: Cross multiply
    350.80x = 526.01 × 145.24
  4. Step 4: Simplify right side
    350.80x = 76,395.06
  5. Step 5: Solve for x
    x = 76,395.06/350.80
  6. Step 6: Final answer
    x = 217.77

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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.