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Finding the Fourth Proportional to 522.98, 784.17 and 157.66

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Solution

The fourth proportional to 522.98, 784.17 and 157.66 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.98 : 784.17 = 157.66 : x
  2. Step 2: Convert to fraction form
    522.98/784.17 = 157.66/x
  3. Step 3: Cross multiply
    522.98x = 784.17 × 157.66
  4. Step 4: Simplify right side
    522.98x = 123,632.24
  5. Step 5: Solve for x
    x = 123,632.24/522.98
  6. Step 6: Final answer
    x = 236.40

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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.