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Finding the Fourth Proportional to 177.04, 264.06 and 154.04

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Solution

The fourth proportional to 177.04, 264.06 and 154.04 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 264.06 = 154.04 : x
  2. Step 2: Convert to fraction form
    177.04/264.06 = 154.04/x
  3. Step 3: Cross multiply
    177.04x = 264.06 × 154.04
  4. Step 4: Simplify right side
    177.04x = 40,674.48
  5. Step 5: Solve for x
    x = 40,674.48/177.04
  6. Step 6: Final answer
    x = 229.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.