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Finding the Fourth Proportional to 581.69, 872.51 and 142.94

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Solution

The fourth proportional to 581.69, 872.51 and 142.94 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.69 : 872.51 = 142.94 : x
  2. Step 2: Convert to fraction form
    581.69/872.51 = 142.94/x
  3. Step 3: Cross multiply
    581.69x = 872.51 × 142.94
  4. Step 4: Simplify right side
    581.69x = 124,712.57
  5. Step 5: Solve for x
    x = 124,712.57/581.69
  6. Step 6: Final answer
    x = 214.40

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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.