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Finding the Fourth Proportional to 522.26, 783.46 and 157

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Solution

The fourth proportional to 522.26, 783.46 and 157 is: 235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.26 : 783.46 = 157 : x
  2. Step 2: Convert to fraction form
    522.26/783.46 = 157/x
  3. Step 3: Cross multiply
    522.26x = 783.46 × 157
  4. Step 4: Simplify right side
    522.26x = 123,003.22
  5. Step 5: Solve for x
    x = 123,003.22/522.26
  6. Step 6: Final answer
    x = 235.52

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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.