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Finding the Fourth Proportional to 290.55, 435.72 and 117.21

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Solution

The fourth proportional to 290.55, 435.72 and 117.21 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.55 : 435.72 = 117.21 : x
  2. Step 2: Convert to fraction form
    290.55/435.72 = 117.21/x
  3. Step 3: Cross multiply
    290.55x = 435.72 × 117.21
  4. Step 4: Simplify right side
    290.55x = 51,070.74
  5. Step 5: Solve for x
    x = 51,070.74/290.55
  6. Step 6: Final answer
    x = 175.77

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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.