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Finding the Fourth Proportional to 469.97, 705.08 and 177.48

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Solution

The fourth proportional to 469.97, 705.08 and 177.48 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.97 : 705.08 = 177.48 : x
  2. Step 2: Convert to fraction form
    469.97/705.08 = 177.48/x
  3. Step 3: Cross multiply
    469.97x = 705.08 × 177.48
  4. Step 4: Simplify right side
    469.97x = 125,134.07
  5. Step 5: Solve for x
    x = 125,134.07/469.97
  6. Step 6: Final answer
    x = 266.26

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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.