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Finding the Fourth Proportional to 153.16, 229.30 and 143.55

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Solution

The fourth proportional to 153.16, 229.30 and 143.55 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 229.30 = 143.55 : x
  2. Step 2: Convert to fraction form
    153.16/229.30 = 143.55/x
  3. Step 3: Cross multiply
    153.16x = 229.30 × 143.55
  4. Step 4: Simplify right side
    153.16x = 32,915.66
  5. Step 5: Solve for x
    x = 32,915.66/153.16
  6. Step 6: Final answer
    x = 214.91

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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.