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Finding the Fourth Proportional to 482.16, 723.24 and 174.10

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Solution

The fourth proportional to 482.16, 723.24 and 174.10 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 723.24 = 174.10 : x
  2. Step 2: Convert to fraction form
    482.16/723.24 = 174.10/x
  3. Step 3: Cross multiply
    482.16x = 723.24 × 174.10
  4. Step 4: Simplify right side
    482.16x = 125,916.08
  5. Step 5: Solve for x
    x = 125,916.08/482.16
  6. Step 6: Final answer
    x = 261.15

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Why These Related Problems?

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