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Finding the Fourth Proportional to 153.04, 211.28 and 120.40

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Solution

The fourth proportional to 153.04, 211.28 and 120.40 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 211.28 = 120.40 : x
  2. Step 2: Convert to fraction form
    153.04/211.28 = 120.40/x
  3. Step 3: Cross multiply
    153.04x = 211.28 × 120.40
  4. Step 4: Simplify right side
    153.04x = 25,438.11
  5. Step 5: Solve for x
    x = 25,438.11/153.04
  6. Step 6: Final answer
    x = 166.22

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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.