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Finding the Fourth Proportional to 210.51, 290.51 and 144.90

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Solution

The fourth proportional to 210.51, 290.51 and 144.90 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.51 : 290.51 = 144.90 : x
  2. Step 2: Convert to fraction form
    210.51/290.51 = 144.90/x
  3. Step 3: Cross multiply
    210.51x = 290.51 × 144.90
  4. Step 4: Simplify right side
    210.51x = 42,094.17
  5. Step 5: Solve for x
    x = 42,094.17/210.51
  6. Step 6: Final answer
    x = 199.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.