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Finding the Fourth Proportional to 153.12, 228.72 and 146.16

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Solution

The fourth proportional to 153.12, 228.72 and 146.16 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 228.72 = 146.16 : x
  2. Step 2: Convert to fraction form
    153.12/228.72 = 146.16/x
  3. Step 3: Cross multiply
    153.12x = 228.72 × 146.16
  4. Step 4: Simplify right side
    153.12x = 33,429.72
  5. Step 5: Solve for x
    x = 33,429.72/153.12
  6. Step 6: Final answer
    x = 218.32

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Why These Related Problems?

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