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Finding the Fourth Proportional to 615.87, 923.80 and 177.13

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Solution

The fourth proportional to 615.87, 923.80 and 177.13 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 923.80 = 177.13 : x
  2. Step 2: Convert to fraction form
    615.87/923.80 = 177.13/x
  3. Step 3: Cross multiply
    615.87x = 923.80 × 177.13
  4. Step 4: Simplify right side
    615.87x = 163,632.69
  5. Step 5: Solve for x
    x = 163,632.69/615.87
  6. Step 6: Final answer
    x = 265.70

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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.