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Finding the Fourth Proportional to 572.84, 859.24 and 162

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Solution

The fourth proportional to 572.84, 859.24 and 162 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 859.24 = 162 : x
  2. Step 2: Convert to fraction form
    572.84/859.24 = 162/x
  3. Step 3: Cross multiply
    572.84x = 859.24 × 162
  4. Step 4: Simplify right side
    572.84x = 139,196.88
  5. Step 5: Solve for x
    x = 139,196.88/572.84
  6. Step 6: Final answer
    x = 242.99

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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.