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Finding the Fourth Proportional to 177.77, 264.60 and 175.16

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Solution

The fourth proportional to 177.77, 264.60 and 175.16 is: 260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.77 : 264.60 = 175.16 : x
  2. Step 2: Convert to fraction form
    177.77/264.60 = 175.16/x
  3. Step 3: Cross multiply
    177.77x = 264.60 × 175.16
  4. Step 4: Simplify right side
    177.77x = 46,346.01
  5. Step 5: Solve for x
    x = 46,346.01/177.77
  6. Step 6: Final answer
    x = 260.72

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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.