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Finding the Fourth Proportional to 210.08, 289.86 and 148.16

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Solution

The fourth proportional to 210.08, 289.86 and 148.16 is: 204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.08 : 289.86 = 148.16 : x
  2. Step 2: Convert to fraction form
    210.08/289.86 = 148.16/x
  3. Step 3: Cross multiply
    210.08x = 289.86 × 148.16
  4. Step 4: Simplify right side
    210.08x = 42,945.66
  5. Step 5: Solve for x
    x = 42,945.66/210.08
  6. Step 6: Final answer
    x = 204.43

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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.