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Finding the Fourth Proportional to 164.58, 225.69 and 152.40

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Solution

The fourth proportional to 164.58, 225.69 and 152.40 is: 208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 225.69 = 152.40 : x
  2. Step 2: Convert to fraction form
    164.58/225.69 = 152.40/x
  3. Step 3: Cross multiply
    164.58x = 225.69 × 152.40
  4. Step 4: Simplify right side
    164.58x = 34,395.16
  5. Step 5: Solve for x
    x = 34,395.16/164.58
  6. Step 6: Final answer
    x = 208.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.