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Finding the Fourth Proportional to 174.84, 241.20 and 152.94

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Solution

The fourth proportional to 174.84, 241.20 and 152.94 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 241.20 = 152.94 : x
  2. Step 2: Convert to fraction form
    174.84/241.20 = 152.94/x
  3. Step 3: Cross multiply
    174.84x = 241.20 × 152.94
  4. Step 4: Simplify right side
    174.84x = 36,889.13
  5. Step 5: Solve for x
    x = 36,889.13/174.84
  6. Step 6: Final answer
    x = 210.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.