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Finding the Fourth Proportional to 556.49, 834.67 and 145.67

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Solution

The fourth proportional to 556.49, 834.67 and 145.67 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.49 : 834.67 = 145.67 : x
  2. Step 2: Convert to fraction form
    556.49/834.67 = 145.67/x
  3. Step 3: Cross multiply
    556.49x = 834.67 × 145.67
  4. Step 4: Simplify right side
    556.49x = 121,582.21
  5. Step 5: Solve for x
    x = 121,582.21/556.49
  6. Step 6: Final answer
    x = 218.48

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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.