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Finding the Fourth Proportional to 210.90, 316.35 and 101.26

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Solution

The fourth proportional to 210.90, 316.35 and 101.26 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 316.35 = 101.26 : x
  2. Step 2: Convert to fraction form
    210.90/316.35 = 101.26/x
  3. Step 3: Cross multiply
    210.90x = 316.35 × 101.26
  4. Step 4: Simplify right side
    210.90x = 32,034.00
  5. Step 5: Solve for x
    x = 32,034.00/210.90
  6. Step 6: Final answer
    x = 151.89

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