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Finding the Fourth Proportional to 522.68, 784.12 and 157.51

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Solution

The fourth proportional to 522.68, 784.12 and 157.51 is: 236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 784.12 = 157.51 : x
  2. Step 2: Convert to fraction form
    522.68/784.12 = 157.51/x
  3. Step 3: Cross multiply
    522.68x = 784.12 × 157.51
  4. Step 4: Simplify right side
    522.68x = 123,502.82
  5. Step 5: Solve for x
    x = 123,502.82/522.68
  6. Step 6: Final answer
    x = 236.29

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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.