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Finding the Fourth Proportional to 177.51, 266.88 and 164.13

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Solution

The fourth proportional to 177.51, 266.88 and 164.13 is: 246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 266.88 = 164.13 : x
  2. Step 2: Convert to fraction form
    177.51/266.88 = 164.13/x
  3. Step 3: Cross multiply
    177.51x = 266.88 × 164.13
  4. Step 4: Simplify right side
    177.51x = 43,803.01
  5. Step 5: Solve for x
    x = 43,803.01/177.51
  6. Step 6: Final answer
    x = 246.76

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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.