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Finding the Fourth Proportional to 556.16, 834.28 and 145.29

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Solution

The fourth proportional to 556.16, 834.28 and 145.29 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.16 : 834.28 = 145.29 : x
  2. Step 2: Convert to fraction form
    556.16/834.28 = 145.29/x
  3. Step 3: Cross multiply
    556.16x = 834.28 × 145.29
  4. Step 4: Simplify right side
    556.16x = 121,210.08
  5. Step 5: Solve for x
    x = 121,210.08/556.16
  6. Step 6: Final answer
    x = 217.94

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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.