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Finding the Fourth Proportional to 174.36, 261.30 and 102.07

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Solution

The fourth proportional to 174.36, 261.30 and 102.07 is: 152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.36 : 261.30 = 102.07 : x
  2. Step 2: Convert to fraction form
    174.36/261.30 = 102.07/x
  3. Step 3: Cross multiply
    174.36x = 261.30 × 102.07
  4. Step 4: Simplify right side
    174.36x = 26,670.89
  5. Step 5: Solve for x
    x = 26,670.89/174.36
  6. Step 6: Final answer
    x = 152.96

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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.