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Finding the Fourth Proportional to 210.84, 290.96 and 117.57

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Solution

The fourth proportional to 210.84, 290.96 and 117.57 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 290.96 = 117.57 : x
  2. Step 2: Convert to fraction form
    210.84/290.96 = 117.57/x
  3. Step 3: Cross multiply
    210.84x = 290.96 × 117.57
  4. Step 4: Simplify right side
    210.84x = 34,208.17
  5. Step 5: Solve for x
    x = 34,208.17/210.84
  6. Step 6: Final answer
    x = 162.25

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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.