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Finding the Fourth Proportional to 615.71, 923.47 and 177.00

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Solution

The fourth proportional to 615.71, 923.47 and 177.00 is: 265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.71 : 923.47 = 177.00 : x
  2. Step 2: Convert to fraction form
    615.71/923.47 = 177.00/x
  3. Step 3: Cross multiply
    615.71x = 923.47 × 177.00
  4. Step 4: Simplify right side
    615.71x = 163,449.57
  5. Step 5: Solve for x
    x = 163,449.57/615.71
  6. Step 6: Final answer
    x = 265.47

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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.