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Finding the Fourth Proportional to 353.54, 530.41 and 148.00

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Solution

The fourth proportional to 353.54, 530.41 and 148.00 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.54 : 530.41 = 148.00 : x
  2. Step 2: Convert to fraction form
    353.54/530.41 = 148.00/x
  3. Step 3: Cross multiply
    353.54x = 530.41 × 148.00
  4. Step 4: Simplify right side
    353.54x = 78,498.98
  5. Step 5: Solve for x
    x = 78,498.98/353.54
  6. Step 6: Final answer
    x = 222.04

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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.