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Finding the Fourth Proportional to 177.40, 264.84 and 150.08

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Solution

The fourth proportional to 177.40, 264.84 and 150.08 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 264.84 = 150.08 : x
  2. Step 2: Convert to fraction form
    177.40/264.84 = 150.08/x
  3. Step 3: Cross multiply
    177.40x = 264.84 × 150.08
  4. Step 4: Simplify right side
    177.40x = 39,747.19
  5. Step 5: Solve for x
    x = 39,747.19/177.40
  6. Step 6: Final answer
    x = 224.05

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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.