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Finding the Fourth Proportional to 147.48, 219.53 and 145.32

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Solution

The fourth proportional to 147.48, 219.53 and 145.32 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 219.53 = 145.32 : x
  2. Step 2: Convert to fraction form
    147.48/219.53 = 145.32/x
  3. Step 3: Cross multiply
    147.48x = 219.53 × 145.32
  4. Step 4: Simplify right side
    147.48x = 31,902.10
  5. Step 5: Solve for x
    x = 31,902.10/147.48
  6. Step 6: Final answer
    x = 216.31

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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.