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Finding the Fourth Proportional to 290.66, 436.02 and 117.34

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Solution

The fourth proportional to 290.66, 436.02 and 117.34 is: 176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 436.02 = 117.34 : x
  2. Step 2: Convert to fraction form
    290.66/436.02 = 117.34/x
  3. Step 3: Cross multiply
    290.66x = 436.02 × 117.34
  4. Step 4: Simplify right side
    290.66x = 51,161.06
  5. Step 5: Solve for x
    x = 51,161.06/290.66
  6. Step 6: Final answer
    x = 176.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.