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Finding the Fourth Proportional to 210.06, 313.56 and 194.64

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Solution

The fourth proportional to 210.06, 313.56 and 194.64 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.06 : 313.56 = 194.64 : x
  2. Step 2: Convert to fraction form
    210.06/313.56 = 194.64/x
  3. Step 3: Cross multiply
    210.06x = 313.56 × 194.64
  4. Step 4: Simplify right side
    210.06x = 61,031.32
  5. Step 5: Solve for x
    x = 61,031.32/210.06
  6. Step 6: Final answer
    x = 290.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.