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Finding the Fourth Proportional to 210.93, 290.99 and 128.01

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Solution

The fourth proportional to 210.93, 290.99 and 128.01 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 290.99 = 128.01 : x
  2. Step 2: Convert to fraction form
    210.93/290.99 = 128.01/x
  3. Step 3: Cross multiply
    210.93x = 290.99 × 128.01
  4. Step 4: Simplify right side
    210.93x = 37,248.99
  5. Step 5: Solve for x
    x = 37,248.99/210.93
  6. Step 6: Final answer
    x = 176.59

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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.