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Finding the Fourth Proportional to 210.39, 290.05 and 148.16

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Solution

The fourth proportional to 210.39, 290.05 and 148.16 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.39 : 290.05 = 148.16 : x
  2. Step 2: Convert to fraction form
    210.39/290.05 = 148.16/x
  3. Step 3: Cross multiply
    210.39x = 290.05 × 148.16
  4. Step 4: Simplify right side
    210.39x = 42,971.62
  5. Step 5: Solve for x
    x = 42,971.62/210.39
  6. Step 6: Final answer
    x = 204.25

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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.