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Finding the Fourth Proportional to 177.48, 264.93 and 164.79

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Solution

The fourth proportional to 177.48, 264.93 and 164.79 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 264.93 = 164.79 : x
  2. Step 2: Convert to fraction form
    177.48/264.93 = 164.79/x
  3. Step 3: Cross multiply
    177.48x = 264.93 × 164.79
  4. Step 4: Simplify right side
    177.48x = 43,657.81
  5. Step 5: Solve for x
    x = 43,657.81/177.48
  6. Step 6: Final answer
    x = 245.99

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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.