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Finding the Fourth Proportional to 174.40, 261.57 and 52.67

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Solution

The fourth proportional to 174.40, 261.57 and 52.67 is: 79.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 261.57 = 52.67 : x
  2. Step 2: Convert to fraction form
    174.40/261.57 = 52.67/x
  3. Step 3: Cross multiply
    174.40x = 261.57 × 52.67
  4. Step 4: Simplify right side
    174.40x = 13,776.89
  5. Step 5: Solve for x
    x = 13,776.89/174.40
  6. Step 6: Final answer
    x = 79.00

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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.