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Finding the Fourth Proportional to 210.03, 289.35 and 147.75

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Solution

The fourth proportional to 210.03, 289.35 and 147.75 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.03 : 289.35 = 147.75 : x
  2. Step 2: Convert to fraction form
    210.03/289.35 = 147.75/x
  3. Step 3: Cross multiply
    210.03x = 289.35 × 147.75
  4. Step 4: Simplify right side
    210.03x = 42,751.46
  5. Step 5: Solve for x
    x = 42,751.46/210.03
  6. Step 6: Final answer
    x = 203.55

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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.