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Finding the Fourth Proportional to 522.62, 784.06 and 157.40

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Solution

The fourth proportional to 522.62, 784.06 and 157.40 is: 236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 784.06 = 157.40 : x
  2. Step 2: Convert to fraction form
    522.62/784.06 = 157.40/x
  3. Step 3: Cross multiply
    522.62x = 784.06 × 157.40
  4. Step 4: Simplify right side
    522.62x = 123,411.04
  5. Step 5: Solve for x
    x = 123,411.04/522.62
  6. Step 6: Final answer
    x = 236.14

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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.