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Finding the Fourth Proportional to 152.44, 228.18 and 98.20

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Solution

The fourth proportional to 152.44, 228.18 and 98.20 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 228.18 = 98.20 : x
  2. Step 2: Convert to fraction form
    152.44/228.18 = 98.20/x
  3. Step 3: Cross multiply
    152.44x = 228.18 × 98.20
  4. Step 4: Simplify right side
    152.44x = 22,407.28
  5. Step 5: Solve for x
    x = 22,407.28/152.44
  6. Step 6: Final answer
    x = 146.99

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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.