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Finding the Fourth Proportional to 353.95, 530.83 and 148.47

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Solution

The fourth proportional to 353.95, 530.83 and 148.47 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 530.83 = 148.47 : x
  2. Step 2: Convert to fraction form
    353.95/530.83 = 148.47/x
  3. Step 3: Cross multiply
    353.95x = 530.83 × 148.47
  4. Step 4: Simplify right side
    353.95x = 78,812.33
  5. Step 5: Solve for x
    x = 78,812.33/353.95
  6. Step 6: Final answer
    x = 222.67

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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.