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Finding the Fourth Proportional to 177.64, 264.91 and 176.02

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Solution

The fourth proportional to 177.64, 264.91 and 176.02 is: 262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 264.91 = 176.02 : x
  2. Step 2: Convert to fraction form
    177.64/264.91 = 176.02/x
  3. Step 3: Cross multiply
    177.64x = 264.91 × 176.02
  4. Step 4: Simplify right side
    177.64x = 46,628.58
  5. Step 5: Solve for x
    x = 46,628.58/177.64
  6. Step 6: Final answer
    x = 262.49

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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.