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Finding the Fourth Proportional to 175.60, 264.74 and 175.60

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Solution

The fourth proportional to 175.60, 264.74 and 175.60 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 264.74 = 175.60 : x
  2. Step 2: Convert to fraction form
    175.60/264.74 = 175.60/x
  3. Step 3: Cross multiply
    175.60x = 264.74 × 175.60
  4. Step 4: Simplify right side
    175.60x = 46,488.34
  5. Step 5: Solve for x
    x = 46,488.34/175.60
  6. Step 6: Final answer
    x = 264.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.