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Finding the Fourth Proportional to 153.33, 210.90 and 137.53

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Solution

The fourth proportional to 153.33, 210.90 and 137.53 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.33 : 210.90 = 137.53 : x
  2. Step 2: Convert to fraction form
    153.33/210.90 = 137.53/x
  3. Step 3: Cross multiply
    153.33x = 210.90 × 137.53
  4. Step 4: Simplify right side
    153.33x = 29,005.08
  5. Step 5: Solve for x
    x = 29,005.08/153.33
  6. Step 6: Final answer
    x = 189.17

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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.