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Finding the Fourth Proportional to 353.21, 530.01 and 147.74

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Solution

The fourth proportional to 353.21, 530.01 and 147.74 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.21 : 530.01 = 147.74 : x
  2. Step 2: Convert to fraction form
    353.21/530.01 = 147.74/x
  3. Step 3: Cross multiply
    353.21x = 530.01 × 147.74
  4. Step 4: Simplify right side
    353.21x = 78,303.68
  5. Step 5: Solve for x
    x = 78,303.68/353.21
  6. Step 6: Final answer
    x = 221.69

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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.