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Finding the Fourth Proportional to 210.50, 290.80 and 175.47

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Solution

The fourth proportional to 210.50, 290.80 and 175.47 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 290.80 = 175.47 : x
  2. Step 2: Convert to fraction form
    210.50/290.80 = 175.47/x
  3. Step 3: Cross multiply
    210.50x = 290.80 × 175.47
  4. Step 4: Simplify right side
    210.50x = 51,027.89
  5. Step 5: Solve for x
    x = 51,027.89/210.50
  6. Step 6: Final answer
    x = 242.41

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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.