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Finding the Fourth Proportional to 145.74, 216.98 and 145.02

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Solution

The fourth proportional to 145.74, 216.98 and 145.02 is: 215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 216.98 = 145.02 : x
  2. Step 2: Convert to fraction form
    145.74/216.98 = 145.02/x
  3. Step 3: Cross multiply
    145.74x = 216.98 × 145.02
  4. Step 4: Simplify right side
    145.74x = 31,465.71
  5. Step 5: Solve for x
    x = 31,465.71/145.74
  6. Step 6: Final answer
    x = 215.90

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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.