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Finding the Fourth Proportional to 158.64, 236.46 and 153.36

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Solution

The fourth proportional to 158.64, 236.46 and 153.36 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 236.46 = 153.36 : x
  2. Step 2: Convert to fraction form
    158.64/236.46 = 153.36/x
  3. Step 3: Cross multiply
    158.64x = 236.46 × 153.36
  4. Step 4: Simplify right side
    158.64x = 36,263.51
  5. Step 5: Solve for x
    x = 36,263.51/158.64
  6. Step 6: Final answer
    x = 228.59

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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.