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Finding the Fourth Proportional to 581.36, 872.06 and 148.50

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Solution

The fourth proportional to 581.36, 872.06 and 148.50 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 872.06 = 148.50 : x
  2. Step 2: Convert to fraction form
    581.36/872.06 = 148.50/x
  3. Step 3: Cross multiply
    581.36x = 872.06 × 148.50
  4. Step 4: Simplify right side
    581.36x = 129,500.91
  5. Step 5: Solve for x
    x = 129,500.91/581.36
  6. Step 6: Final answer
    x = 222.76

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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.