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Finding the Fourth Proportional to 437.51, 656.28 and 177.48

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Solution

The fourth proportional to 437.51, 656.28 and 177.48 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.51 : 656.28 = 177.48 : x
  2. Step 2: Convert to fraction form
    437.51/656.28 = 177.48/x
  3. Step 3: Cross multiply
    437.51x = 656.28 × 177.48
  4. Step 4: Simplify right side
    437.51x = 116,476.57
  5. Step 5: Solve for x
    x = 116,476.57/437.51
  6. Step 6: Final answer
    x = 266.23

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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.