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Finding the Fourth Proportional to 153.60, 228.60 and 146.40

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Solution

The fourth proportional to 153.60, 228.60 and 146.40 is: 217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 228.60 = 146.40 : x
  2. Step 2: Convert to fraction form
    153.60/228.60 = 146.40/x
  3. Step 3: Cross multiply
    153.60x = 228.60 × 146.40
  4. Step 4: Simplify right side
    153.60x = 33,467.04
  5. Step 5: Solve for x
    x = 33,467.04/153.60
  6. Step 6: Final answer
    x = 217.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.