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Finding the Fourth Proportional to 175.84, 264.26 and 174.02

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Solution

The fourth proportional to 175.84, 264.26 and 174.02 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 264.26 = 174.02 : x
  2. Step 2: Convert to fraction form
    175.84/264.26 = 174.02/x
  3. Step 3: Cross multiply
    175.84x = 264.26 × 174.02
  4. Step 4: Simplify right side
    175.84x = 45,985.64
  5. Step 5: Solve for x
    x = 45,985.64/175.84
  6. Step 6: Final answer
    x = 261.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.