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Finding the Fourth Proportional to 210.20, 289.98 and 148.03

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Solution

The fourth proportional to 210.20, 289.98 and 148.03 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 289.98 = 148.03 : x
  2. Step 2: Convert to fraction form
    210.20/289.98 = 148.03/x
  3. Step 3: Cross multiply
    210.20x = 289.98 × 148.03
  4. Step 4: Simplify right side
    210.20x = 42,925.01
  5. Step 5: Solve for x
    x = 42,925.01/210.20
  6. Step 6: Final answer
    x = 204.22

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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.