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Finding the Fourth Proportional to 152.95, 227.88 and 147.46

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Solution

The fourth proportional to 152.95, 227.88 and 147.46 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.95 : 227.88 = 147.46 : x
  2. Step 2: Convert to fraction form
    152.95/227.88 = 147.46/x
  3. Step 3: Cross multiply
    152.95x = 227.88 × 147.46
  4. Step 4: Simplify right side
    152.95x = 33,603.18
  5. Step 5: Solve for x
    x = 33,603.18/152.95
  6. Step 6: Final answer
    x = 219.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.