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Finding the Fourth Proportional to 210.65, 290.69 and 117.39

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Solution

The fourth proportional to 210.65, 290.69 and 117.39 is: 162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 290.69 = 117.39 : x
  2. Step 2: Convert to fraction form
    210.65/290.69 = 117.39/x
  3. Step 3: Cross multiply
    210.65x = 290.69 × 117.39
  4. Step 4: Simplify right side
    210.65x = 34,125.04
  5. Step 5: Solve for x
    x = 34,125.04/210.65
  6. Step 6: Final answer
    x = 162.00

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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.