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Finding the Fourth Proportional to 245.72, 339.15 and 152.41

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Solution

The fourth proportional to 245.72, 339.15 and 152.41 is: 210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.72 : 339.15 = 152.41 : x
  2. Step 2: Convert to fraction form
    245.72/339.15 = 152.41/x
  3. Step 3: Cross multiply
    245.72x = 339.15 × 152.41
  4. Step 4: Simplify right side
    245.72x = 51,688.16
  5. Step 5: Solve for x
    x = 51,688.16/245.72
  6. Step 6: Final answer
    x = 210.36

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Why These Related Problems?

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