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Finding the Fourth Proportional to 152.30, 229.52 and 144.98

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Solution

The fourth proportional to 152.30, 229.52 and 144.98 is: 218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 229.52 = 144.98 : x
  2. Step 2: Convert to fraction form
    152.30/229.52 = 144.98/x
  3. Step 3: Cross multiply
    152.30x = 229.52 × 144.98
  4. Step 4: Simplify right side
    152.30x = 33,275.81
  5. Step 5: Solve for x
    x = 33,275.81/152.30
  6. Step 6: Final answer
    x = 218.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.