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Finding the Fourth Proportional to 522.75, 784.14 and 138

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Solution

The fourth proportional to 522.75, 784.14 and 138 is: 207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 784.14 = 138 : x
  2. Step 2: Convert to fraction form
    522.75/784.14 = 138/x
  3. Step 3: Cross multiply
    522.75x = 784.14 × 138
  4. Step 4: Simplify right side
    522.75x = 108,211.32
  5. Step 5: Solve for x
    x = 108,211.32/522.75
  6. Step 6: Final answer
    x = 207.00

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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.