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Finding the Fourth Proportional to 225.60, 310.95 and 147.84

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Solution

The fourth proportional to 225.60, 310.95 and 147.84 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 310.95 = 147.84 : x
  2. Step 2: Convert to fraction form
    225.60/310.95 = 147.84/x
  3. Step 3: Cross multiply
    225.60x = 310.95 × 147.84
  4. Step 4: Simplify right side
    225.60x = 45,970.85
  5. Step 5: Solve for x
    x = 45,970.85/225.60
  6. Step 6: Final answer
    x = 203.77

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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.