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Finding the Fourth Proportional to 210.06, 289.64 and 147.78

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Solution

The fourth proportional to 210.06, 289.64 and 147.78 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 289.64 = 147.78 : x
  2. Step 2: Convert to fraction form
    210.06/289.64 = 147.78/x
  3. Step 3: Cross multiply
    210.06x = 289.64 × 147.78
  4. Step 4: Simplify right side
    210.06x = 42,803.37
  5. Step 5: Solve for x
    x = 42,803.37/210.06
  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.